The Minkowski And Conformal Superspaces

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The Minkowski and Conformal Superspaces

Author : Rita Fioresi
Publisher : World Scientific
ISBN 13 : 9814566357
Total Pages : 364 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis The Minkowski and Conformal Superspaces by : Rita Fioresi

Download or read book The Minkowski and Conformal Superspaces written by Rita Fioresi and published by World Scientific. This book was released on 2015-03-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view. It provides a bridge between the physical and mathematical approaches to the superworld. The physicist who is devoted to learning the basics of supergeometry can find a friendly approach here, since only the concepts that are strictly necessary are introduced. On the other hand, the mathematician who wants to learn from physics will find that all the mathematical assumptions are firmly rooted in physical concepts. This may open up a channel of communication between the two communities working on different aspects of supersymmetry. Starting from special relativity and Minkowski space, the idea of conformal space and superspace is built step by step in a mathematically rigorous way, and always connecting with the ideas and notation used in physics. While the book is mainly devoted to these important physical examples of superspaces, it can also be used as an introduction to the field of supergeometry, where a reader can ease into the subject without being overwhelmed with the technical difficulties. Contents:Introduction to SupergeometryThe Ordinary Minkowski and Conformal SpacesSupersymmetry in PhysicsThe Minkowski and Conformal SuperspacesDeformations of the Minkowski and Conformal SuperspacesAppendices:CategoriesRepresentability CriterionLie Superalgebras and Lie Supergroups of Classical TypeSuper Harish-Chandra PairsQuantum Supergroups Readership: Graduate students and researchers in mathematics and physics interested in supersymmetry. Keywords:Superspaces;Supersymmetry;Supergeometry;Quantum Groups;Conformal Group;Minkowski;SuperminkowskiKey Features:Comprehensible introduction to supergeometry: why the algebraic geometric framework is essentialThe superspaces chosen in this book allow us to introduce gradually concepts such as supergroups and homogeneous superspaces while, at the same time working out particular cases that are, both, non-trivial from a mathematical point of view and very important from the physical point of viewA further step is taken towards non-commutative geometry, although not introducing all its machinery: already at the level of quantum deformation the problem is involved and interesting. The construction may well show a path towards the formulation of physical theories on quantum spaces

The Minkowski and Conformal Superspaces

Author : Rita Fioresi
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814566339
Total Pages : 341 pages
Book Rating : 4.5/5 (663 download)

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Book Synopsis The Minkowski and Conformal Superspaces by : Rita Fioresi

Download or read book The Minkowski and Conformal Superspaces written by Rita Fioresi and published by World Scientific Publishing Company Incorporated. This book was released on 2015 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view. It provides a bridge between the physical and mathematical approaches to the superworld. The physicist who is devoted to learning the basics of supergeometry can find a friendly approach here, since only the concepts that are strictly necessary are introduced. On the other hand, the mathematician who wants to learn from physics will find that all the mathematical assumptions are firmly rooted in physical concepts. This may open up a channel of communication between the two communities working on different aspects of supersymmetry. Starting from special relativity and Minkowski space, the idea of conformal space and superspace is built step by step in a mathematically rigorous way, and always connecting with the ideas and notation used in physics. While the book is mainly devoted to these important physical examples of superspaces, it can also be used as an introduction to the field of supergeometry, where a reader can ease into the subject without being overwhelmed with the technical difficulties.

Supersymmetry in Mathematics and Physics

Author : Sergio Ferrara
Publisher : Springer
ISBN 13 : 3642217443
Total Pages : 279 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Supersymmetry in Mathematics and Physics by : Sergio Ferrara

Download or read book Supersymmetry in Mathematics and Physics written by Sergio Ferrara and published by Springer. This book was released on 2011-08-27 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.

Supersymmetry, Supergravity And Supercolliders (Tasi 1997)

Author : Jonathon A Bagger
Publisher : World Scientific
ISBN 13 : 9814543888
Total Pages : 788 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Supersymmetry, Supergravity And Supercolliders (Tasi 1997) by : Jonathon A Bagger

Download or read book Supersymmetry, Supergravity And Supercolliders (Tasi 1997) written by Jonathon A Bagger and published by World Scientific. This book was released on 1999-03-12 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: In June 1997, fifty-seven of the world's best students gathered at TASI '97 in Boulder, Colorado, USA, to attend an intensive series of lectures on the theory and phenomenology of supersymmetry, supergravity and supercolliders. This book contains the proceedings of that school. It is aimed at advanced graduate students as well as postdoctoral and other researchers. It provides a snapshot of the state-of-the-art in an active area of high energy particle theory, and may perhaps serve as a preview of physics to be discovered in the next decade.

Geometric Science of Information

Author : Frank Nielsen
Publisher : Springer
ISBN 13 : 3030269809
Total Pages : 764 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Geometric Science of Information by : Frank Nielsen

Download or read book Geometric Science of Information written by Frank Nielsen and published by Springer. This book was released on 2019-08-19 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019. The 79 full papers presented in this volume were carefully reviewed and selected from 105 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications.

Introduction to Supersymmetric Field Theory

Author : Sergio M. Kuzenko
Publisher : CRC Press
ISBN 13 : 1420050516
Total Pages : 656 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Supersymmetric Field Theory by : Sergio M. Kuzenko

Download or read book Introduction to Supersymmetric Field Theory written by Sergio M. Kuzenko and published by CRC Press. This book was released on 1998-01-01 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace provides a comprehensive, detailed, and self-contained account of four dimensional simple supersymmetry and supergravity. Throughout the book, the authors cultivate their material in detail with calculations and full discussions of the fundamental ideas and motivations. They develop the subject in its superfield formulations but where appropriate for illustration, analogy, and comparison with conventional field theory, they use the component formulation. The book discusses many subjects that, until now, can only be found in the research literature. In addition, it presents a plethora of new results. Combining classical and quantum field theory with group theory, differential geometry, and algebra, the book begins with a solid mathematical background that is used in the rest of the book. The next chapter covers algebraic aspects of supersymmetry and the concepts of superspace and superfield. In the following chapters, the book presents classical and quantum superfield theory and the superfield formulation of supergravity. A synthesis of results and methods developed in the book, the final chapter concludes with the theory of effective action in curved superspaces. After studying this book, readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral faculty, and researchers involved in quantum field theory, high energy physics, gravity theory, mathematical physics, and applied mathematics.

Reflections on Quanta, Symmetries, and Supersymmetries

Author : V.S. Varadarajan
Publisher : Springer Science & Business Media
ISBN 13 : 1441906673
Total Pages : 242 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Reflections on Quanta, Symmetries, and Supersymmetries by : V.S. Varadarajan

Download or read book Reflections on Quanta, Symmetries, and Supersymmetries written by V.S. Varadarajan and published by Springer Science & Business Media. This book was released on 2011-05-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum theory, symmetries and representation theory, and the quantum theory of the superworld created by physicists. The lectures are linked by a unifying theme: how the quantum world and superworld appear under the lens of symmetry and supersymmetry. In the world of ultra-small times and distances such as the Planck length and Planck time, physicists believe no measurements are possible and so the structure of spacetime itself is an unknown that has to be first understood. There have been suggestions (Volovich hypothesis) that world geometry at such energy regimes is non-archimedian and some of the lectures explore the consequences of such a hypothesis. Ultimately, symmetries and supersymmetries are described by the representation of groups and supergroups. The author's interest in representation is a lifelong one and evolved slowly, and owes a great deal to conversations and discussions he had with George Mackey and Harish-Chandra. The book concludes with a retrospective look at these conversations.

Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting

Download Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting PDF Online Free

Author : Gurzadyan Vahe G
Publisher : World Scientific
ISBN 13 : 9814488496
Total Pages : 2748 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting by : Gurzadyan Vahe G

Download or read book Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting written by Gurzadyan Vahe G and published by World Scientific. This book was released on 2002-12-12 with total page 2748 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1975 the Marcel Grossmann Meetings were established by Remo Ruffini and Abdus Salam to provide a forum for discussion of recent advances in gravitation, general relativity, and relativistic field theories. In these meetings, which are held once every three years, every aspect of research is emphasized - mathematical foundations, physical predictions, and numerical and experimental investigations. The major objective of these meetings is to facilitate exchange among scientists, so as to deepen our understanding of the structure of space-time and to review the status of both the ground-based and the space-based experiments aimed at testing the theory of gravitation.The Marcel Grossmann Meetings have grown under the guidance of an International Organizing Committee and a large International Coordinating Committee. The first two meetings, MG1 and MG2, were held in Trieste (1975, 1979). A most memorable MG3 (1982) was held in Shanghai and represented the first truly international scientific meeting in China after the so-called Cultural Revolution. Three years later MG4 was held in Rome (1985). It was at MG4 that ';astroparticle physics'; was born.MGIXMM was organized by the International Organizing Committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg. Essential to the organization was an International Coordinating Committee of 135 members from scientific institutions of 54 countries. MGIXMM was attended by 997 scientists of 69 nationalities. It took place on 2-8 July 2000 at the University of Rome, Italy. The scientific programs included 60 plenary and review talks, as well as talks in 88 parallel sessions. The three volumes of the proceedings of MGIXMM present a rather authoritative view of relativistic astrophysics, which is becoming one of the priorities in scientific endeavour. The papers appearing in these volumes cover all aspects of gravitation, from mathematical issues to recent observations and experiments. Their intention is to give a complete picture of our current understanding of gravitational theory at the turn of the millennium.The Marcel Grossmann Individual Awards for this meeting were presented to Cecille and Bryce DeWitt, Riccardo Giacconi and Roger Penrose, while the Institutional Award went to the Solvay Institute, accepted on behalf of the Institute by Jacques Solvay and Ilya Prigogine. The acceptance speeches are also included in the proceedings.

The Ninth Marcel Grossman Meeting (MGIXMM)

Author : Robert T. Jantzen
Publisher : World Scientific
ISBN 13 : 9812380108
Total Pages : 2746 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis The Ninth Marcel Grossman Meeting (MGIXMM) by : Robert T. Jantzen

Download or read book The Ninth Marcel Grossman Meeting (MGIXMM) written by Robert T. Jantzen and published by World Scientific. This book was released on 2002-12-01 with total page 2746 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1975 the Marcel Grossmann Meetings were established by Remo Ruffini and Abdus Salam to provide a forum for discussion of recent advances in gravitation, general relativity, and relativistic field theories. In these meetings, which are held once every three years, every aspect of research is emphasized - mathematical foundations, physical predictions, and numerical and experimental investigations. The major objective of these meetings is to facilitate exchange among scientists, so as to deepen our understanding of the structure of space-time and to review the status of both the ground-based and the space-based experiments aimed at testing the theory of gravitation.The Marcel Grossmann Meetings have grown under the guidance of an International Organizing Committee and a large International Coordinating Committee. The first two meetings, MG1 and MG2, were held in Trieste (1975, 1979). A most memorable MG3 (1982) was held in Shanghai and represented the first truly international scientific meeting in China after the so-called Cultural Revolution. Three years later MG4 was held in Rome (1985). It was at MG4 that ';astroparticle physics'; was born.MGIXMM was organized by the International Organizing Committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg. Essential to the organization was an International Coordinating Committee of 135 members from scientific institutions of 54 countries. MGIXMM was attended by 997 scientists of 69 nationalities. It took place on 2-8 July 2000 at the University of Rome, Italy. The scientific programs included 60 plenary and review talks, as well as talks in 88 parallel sessions. The three volumes of the proceedings of MGIXMM present a rather authoritative view of relativistic astrophysics, which is becoming one of the priorities in scientific endeavour. The papers appearing in these volumes cover all aspects of gravitation, from mathematical issues to recent observations and experiments. Their intention is to give a complete picture of our current understanding of gravitational theory at the turn of the millennium.The Marcel Grossmann Individual Awards for this meeting were presented to Cecille and Bryce DeWitt, Riccardo Giacconi and Roger Penrose, while the Institutional Award went to the Solvay Institute, accepted on behalf of the Institute by Jacques Solvay and Ilya Prigogine. The acceptance speeches are also included in the proceedings.

Symmetry in Mathematics and Physics

Author : Donald G. Babbitt
Publisher : American Mathematical Soc.
ISBN 13 : 0821847317
Total Pages : 267 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symmetry in Mathematics and Physics by : Donald G. Babbitt

Download or read book Symmetry in Mathematics and Physics written by Donald G. Babbitt and published by American Mathematical Soc.. This book was released on 2009-07-10 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume mainly grew out of talks given at a Conference held at UCLA in January 2008, which honored V. S. Varadarajan on his 70th birthday. The main theme of the Conference was symmetry in mathematics and physics, areas of mathematics and mathematical physics in which Varadarajan has made significant contributions during the past 50 years. Very early in his career he also worked and made significant contributions in the areas of probability and the foundations of quantum mechanics. Topics covered by the articles in this volume are probability, quantum mechanics, symmetry (broadly interpreted in mathematics and physics), finite and infinite dimensional Lie groups and Lie algebras and their representations, super Lie groups and supergeometry (relatively new but active and important fields at the interface between mathematics and physics), and supersymmetry. The latter topic takes on a special importance since one of the first experiments at the Large Hadron Collider at CERN will be a test of whether supersymmetry exists in the world of elementary particles. A reprint of an exposition of supersymmetry by one of its founders, B. Zumino, appears in this volume.

Quantum Field Theory and Gravity

Author : Felix Finster
Publisher : Springer Science & Business Media
ISBN 13 : 3034800436
Total Pages : 389 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Quantum Field Theory and Gravity by : Felix Finster

Download or read book Quantum Field Theory and Gravity written by Felix Finster and published by Springer Science & Business Media. This book was released on 2012-02-08 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Nuclear Physics

Author :
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Nuclear Physics by :

Download or read book Nuclear Physics written by and published by . This book was released on 2001 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SUSY 30

Author : Keith A. Olive
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis SUSY 30 by : Keith A. Olive

Download or read book SUSY 30 written by Keith A. Olive and published by . This book was released on 2001 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Second International A.D. Sakharov Conference on Physics

Author : Igor Michailovich Dremin
Publisher : World Scientific
ISBN 13 : 9814530514
Total Pages : 791 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Proceedings of the Second International A.D. Sakharov Conference on Physics by : Igor Michailovich Dremin

Download or read book Proceedings of the Second International A.D. Sakharov Conference on Physics written by Igor Michailovich Dremin and published by World Scientific. This book was released on 1997 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Second International A D Sakharov Conference On Physics

Author : Igor Michailovich Dremin
Publisher : World Scientific
ISBN 13 : 981454714X
Total Pages : 791 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Second International A D Sakharov Conference On Physics by : Igor Michailovich Dremin

Download or read book Second International A D Sakharov Conference On Physics written by Igor Michailovich Dremin and published by World Scientific. This book was released on 1997-04-15 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the Second International A D Sakharov Conference on Physics, more than 200 physicists from many countries gathered together to celebrate what would have been the 75th birthday of the distinguished physicist and world figure Andrei Sakharov. This tradition had begun five years earlier, soon after his death.The conference was unique: it brought together leading scientists working in seemingly different fields, which were nevertheless among Sakharov's interests. Participants discussed the status and perspectives of research in high-energy physics, cosmology, astrophysics, classical and quantum gravity, plasma physics, nuclear physics, and extreme states of matter. The conference provided a unique opportunity for the participants to find and discuss common points of interest. The proceedings are evidence of the great variety of topics.Talks were given by distinguished physicists such as S Drell, L Okun, R Wilson, A D Linde, C W Misner, N A Popov, S L Adler, B DeWitt, M Kaku, J H Schwarz, A Zamolodchikov and E S Fradkin.

Quantum Riemannian Geometry

Author : Edwin J. Beggs
Publisher : Springer Nature
ISBN 13 : 3030302946
Total Pages : 809 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Quantum Riemannian Geometry by : Edwin J. Beggs

Download or read book Quantum Riemannian Geometry written by Edwin J. Beggs and published by Springer Nature. This book was released on 2020-01-31 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a `bottom up’ one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum `Levi-Civita’ bimodule connection, geometric Laplacians and, in some cases, Dirac operators. The book also covers elements of Connes’ approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules. A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers.

Mathematical Foundations of Supersymmetry

Author : Claudio Carmeli
Publisher : European Mathematical Society
ISBN 13 : 9783037190975
Total Pages : 308 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis Mathematical Foundations of Supersymmetry by : Claudio Carmeli

Download or read book Mathematical Foundations of Supersymmetry written by Claudio Carmeli and published by European Mathematical Society. This book was released on 2011 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry is a highly active area of considerable interest among physicists and mathematicians. It is not only fascinating in its own right, but there is also indication that it plays a fundamental role in the physics of elementary particles and gravitation. The purpose of the book is to lay down the foundations of the subject, providing the reader with a comprehensive introduction to the language and techniques, as well as detailed proofs and many clarifying examples. This book is aimed ideally at second-year graduate students. After the first three introductory chapters, the text is divided into two parts: the theory of smooth supermanifolds and Lie supergroups, including the Frobenius theorem, and the theory of algebraic superschemes and supergroups. There are three appendices. The first introduces Lie superalgebras and representations of classical Lie superalgebras, the second collects some relevant facts on categories, sheafification of functors and commutative algebra, and the third explains the notion of Frechet space in the super context.