Mathematical Foundations Of Supersymmetry

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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.

Mathematical Foundations of Supersymmetry

Author : CLAUDIO CARMELI; LAUREN CASTON; RITA FIORESI.
Publisher :
ISBN 13 : 9783037195970
Total Pages : 287 pages
Book Rating : 4.1/5 (959 download)

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Book Synopsis Mathematical Foundations of Supersymmetry by : CLAUDIO CARMELI; LAUREN CASTON; RITA FIORESI.

Download or read book Mathematical Foundations of Supersymmetry written by CLAUDIO CARMELI; LAUREN CASTON; RITA FIORESI. and published by . This book was released on with total page 287 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, with a special attention to giving detailed proofs and many clarifying examples. It is aimed ideally at a second year graduate student. After the first three introductory chapters, the text divides 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 introducing Lie superalgebras and representations of classical Lie superalgebras, the second collecting some relevant facts on categories, sheafification of functors and commutative algebra, and the third explaining the notion of Fréchet space in the super context.

Supersymmetry for Mathematicians: An Introduction

Author : V. S. Varadarajan
Publisher : American Mathematical Soc.
ISBN 13 : 0821835742
Total Pages : 311 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Supersymmetry for Mathematicians: An Introduction by : V. S. Varadarajan

Download or read book Supersymmetry for Mathematicians: An Introduction written by V. S. Varadarajan and published by American Mathematical Soc.. This book was released on 2004 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An special feature of the book is the treatment in depth of the theory of spinors in all dimensions and signatures, which is the basis of all developments of supergeometry both in physics and mathematics, especially in quantum field theory and supergravity."--Jacket.

Introduction to Supersymmetry

Author : Peter G. O. Freund
Publisher : Cambridge University Press
ISBN 13 : 9780521356756
Total Pages : 168 pages
Book Rating : 4.3/5 (567 download)

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Book Synopsis Introduction to Supersymmetry by : Peter G. O. Freund

Download or read book Introduction to Supersymmetry written by Peter G. O. Freund and published by Cambridge University Press. This book was released on 1986 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories. The basic ideas are worked out in low space dimensionalities and techniques where the formulae do not obscure the concepts.

Supersymmetry

Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110526697
Total Pages : 345 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Supersymmetry by : Vladimir K. Dobrev

Download or read book Supersymmetry written by Vladimir K. Dobrev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-09-24 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered. Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D > 4 Quantum superalgebras

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 and String Theory

Author : Michael Dine
Publisher : Cambridge University Press
ISBN 13 : 113946244X
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Supersymmetry and String Theory by : Michael Dine

Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2007-01-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

Supermathematics and its Applications in Statistical Physics

Author : Franz Wegner
Publisher : Springer
ISBN 13 : 3662491702
Total Pages : 374 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Supermathematics and its Applications in Statistical Physics by : Franz Wegner

Download or read book Supermathematics and its Applications in Statistical Physics written by Franz Wegner and published by Springer. This book was released on 2016-03-25 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.

Supergravity and Superstrings

Author : Leonardo Castellani
Publisher :
ISBN 13 : 9789810206765
Total Pages : 603 pages
Book Rating : 4.2/5 (67 download)

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Book Synopsis Supergravity and Superstrings by : Leonardo Castellani

Download or read book Supergravity and Superstrings written by Leonardo Castellani and published by . This book was released on 1991 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Field Theory, Supersymmetry, and Enumerative Geometry

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 0821834312
Total Pages : 297 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Field Theory, Supersymmetry, and Enumerative Geometry by : Daniel S. Freed

Download or read book Quantum Field Theory, Supersymmetry, and Enumerative Geometry written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2006 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry, three very active research areas in mathematics and theoretical physics. With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics. Two major themes at this institute were supersymmetry and algebraic geometry, particularly enumerative geometry. The volume contains two lecture series on methods of enumerative geometry that have their roots in QFT. The first series covers the Schubert calculus and quantum cohomology. The second discusses methods from algebraic geometry for computing Gromov-Witten invariants. There are also three sets of lectures of a more introductory nature: an overview of classical field theory and supersymmetry, an introduction to supermanifolds, and an introduction to general relativity. This volume is recommended for independent study and is suitable for graduate students and researchers interested in geometry and physics. Information for our distributors: Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Supersymmetry and Equivariant de Rham Theory

Author : Victor W Guillemin
Publisher : Springer Science & Business Media
ISBN 13 : 3662039923
Total Pages : 243 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Supersymmetry and Equivariant de Rham Theory by : Victor W Guillemin

Download or read book Supersymmetry and Equivariant de Rham Theory written by Victor W Guillemin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since the early 1980's, it has not before been the subject of a monograph. It covers almost all important aspects of the subject The authors are key authorities in this field.

Renormalized Supersymmetry

Author : PIGUET
Publisher : Springer Science & Business Media
ISBN 13 : 1468473263
Total Pages : 360 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Renormalized Supersymmetry by : PIGUET

Download or read book Renormalized Supersymmetry written by PIGUET and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book grew out of lecture notes prepared for a "Cours du troisieme cycle de la Suisse Romande", 1983 in Lausanne. The original notes are considerably extended and brought up to date. In fact the book offers at many instances completely new derivations. Half-way between textbook and research monograph we believe it to be useful for students in elementary particle physics as well as for research workers in the realm of supersymmetry. In writing the book we looked back not only on ten years of super symmetry but also on ten years of our own life and work. We realize how deeply we are indebted to many friends and colleagues. Some shared our efforts, some helped and encouraged us, some provided the facili ties to work. Their list comprises at least C. Becchi, S. Bedding, P. Breitenlohner, T.E. Clark, S. Ferrara, R. Gatto, M. Jacob, W. Lang, J.H. Lowenstein, D. Maison, H. Nicolai, J. Prentki, A. Rouet, H. Ruegg, M. Schweda, R. Stora, J. Wess, W. Zimmermann, B. Zumino. During the last ten years we had the privilege to work at CERN (Geneva), Departement de Physique Theorique (University of Geneva), Institut fUr Theoretische Physik (University of Karlsruhe) and at the Max-Planck-Institut fUr Physik und Astrophysik (Munich) for which we are most grateful. Grate fully acknowledged is also the support we received by "the Swiss National Science Foundation" (O.P.), the "Deutsche Forschungsgemeinschaft" (Heisenberg-Fellowship; K.S.)

Five Lectures on Supersymmetry

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871935
Total Pages : 132 pages
Book Rating : 4.8/5 (719 download)

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Book Synopsis Five Lectures on Supersymmetry by : Daniel S. Freed

Download or read book Five Lectures on Supersymmetry written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas.

Concise Encyclopedia of Supersymmetry

Author : Steven Duplij
Publisher : Springer Science & Business Media
ISBN 13 : 1402013388
Total Pages : 516 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Concise Encyclopedia of Supersymmetry by : Steven Duplij

Download or read book Concise Encyclopedia of Supersymmetry written by Steven Duplij and published by Springer Science & Business Media. This book was released on 2005-11-07 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first full-size Encyclopedia which simultaneously covers such well-established and modern subjects as quantum field theory, supersymmetry, supergravity, M-theory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, and their generalizations. The extraordinary historical part "the SUSY story," more than 700 authored articles from more than 250 high-level experts (including Nobel Prize Winner Gerard 't Hooft), a detailed (50 pages) Subject/Article three level index and an Author index, make the SUSY Encyclopedia an outstanding and indispensable book on the desk of researchers, experts, Ph.D. students, specialists and professionals in modern methods of theoretical and mathematical physics.

Supersymmetry

Author : S. K. Soni
Publisher : CRC PressI Llc
ISBN 13 : 9780849309892
Total Pages : 168 pages
Book Rating : 4.3/5 (98 download)

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Book Synopsis Supersymmetry by : S. K. Soni

Download or read book Supersymmetry written by S. K. Soni and published by CRC PressI Llc. This book was released on 2000 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry: Basics and Concepts provides an overall survey of supersymmetry from a unified and up-to-date viewpoint. The author's approach reflects the free logic that characterizes present day research rather than fact-bound induction. Main topics include: simple systems with supersymmetry taken from particle mechanics, the classical limit of supersymmetric quantum mechanics, the double cover of the Lorentz group and other group theoretical matters, and a representative sample process involving supersymmetric lepton-photon interactions.

An Introduction to Symmetry and Supersymmetry in Quantum Field Theory

Author : Jan T. ?opusza?ski
Publisher : World Scientific
ISBN 13 : 9789971501617
Total Pages : 400 pages
Book Rating : 4.5/5 (16 download)

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Book Synopsis An Introduction to Symmetry and Supersymmetry in Quantum Field Theory by : Jan T. ?opusza?ski

Download or read book An Introduction to Symmetry and Supersymmetry in Quantum Field Theory written by Jan T. ?opusza?ski and published by World Scientific. This book was released on 1991 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a set of lecture notes given by the author at the Universities of Gttingen and Wroclaw. The text presents the axiomatic approach to field theory and studies in depth the concepts of symmetry and supersymmetry and their associated generators, currents and charges. It is intended as a one-semester course for graduate students in the field of mathematical physics and high energy physics.

Introduction To Supersymmetry (2nd Edition)

Author : Muller-kirsten Harald J W
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100966
Total Pages : 452 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Introduction To Supersymmetry (2nd Edition) by : Muller-kirsten Harald J W

Download or read book Introduction To Supersymmetry (2nd Edition) written by Muller-kirsten Harald J W and published by World Scientific Publishing Company. This book was released on 2010-01-21 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry is a symmetry which combines bosons and fermions in the same multiplet of a larger group which unites the transformations of this symmetry with that of spacetime. Thus every bosonic particle must have a fermionic partner and vice versa. Since this is not what is observed, this symmetry with inherent theoretical advantages must be badly broken. It is hoped that the envisaged collider experiments at CERN will permit a first experimental test, which is expected to revive the interest in supersymmetry considerably.This revised edition of the highly successful text of 20 years ago provides an introduction to supersymmetry, and thus begins with a substantial chapter on spacetime symmetries and spinors. Following this, graded algebras are introduced, and thereafter the supersymmetric extension of the spacetime Poincaré algebra and its representations. The Wess-Zumino model, superfields, supersymmetric Lagrangians, and supersymmetric gauge theories are treated in detail in subsequent chapters. Finally the breaking of supersymmetry is addressed meticulously. All calculations are presented in detail so that the reader can follow every step.