Special Metrics And Supersymmetry

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Special Metrics and Supersymmetry

Author : Luis Carlos de Andrés
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Special Metrics and Supersymmetry by : Luis Carlos de Andrés

Download or read book Special Metrics and Supersymmetry written by Luis Carlos de Andrés and published by American Institute of Physics. This book was released on 2009-02-25 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: All papers have been peer-reviewed. This volume includes the contributions to the International Workshop on Geometry and Physics: Special Metrics and Supersymmetry, held at the University of the Basque Country, Bilbao (Spain), from May 29 to 31, 2008. The topics covered by the volume deal with leading aspects of algebraic and differential geometry with special emphasis to their potential applications in supersymmetry and string theories. The areas covered by the proceedings are algebraic geometry, differential geometry and mathematical physics. In greater detail, they cover outstanding topics such as homological mirror symmetry, generalized Hodge theory, coassociative submanifolds, special geometric structures, geometric structures, Killing spinors, torsion geometry, string theory, supersymmetry and T-duality, among others.

Supersymmetry in Disorder and Chaos

Author : Konstantin Efetov
Publisher : Cambridge University Press
ISBN 13 : 9780521663823
Total Pages : 470 pages
Book Rating : 4.6/5 (638 download)

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Book Synopsis Supersymmetry in Disorder and Chaos by : Konstantin Efetov

Download or read book Supersymmetry in Disorder and Chaos written by Konstantin Efetov and published by Cambridge University Press. This book was released on 1999-09-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

Handbook of Pseudo-Riemannian Geometry and Supersymmetry

Author : Vicente Cortés
Publisher : European Mathematical Society
ISBN 13 : 9783037190791
Total Pages : 972 pages
Book Rating : 4.1/5 (97 download)

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Book Synopsis Handbook of Pseudo-Riemannian Geometry and Supersymmetry by : Vicente Cortés

Download or read book Handbook of Pseudo-Riemannian Geometry and Supersymmetry written by Vicente Cortés and published by European Mathematical Society. This book was released on 2010 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.

Differential Geometry Through Supersymmetric Glasses

Author : Andrei Smilga
Publisher : World Scientific
ISBN 13 : 9811206791
Total Pages : 346 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Differential Geometry Through Supersymmetric Glasses by : Andrei Smilga

Download or read book Differential Geometry Through Supersymmetric Glasses written by Andrei Smilga and published by World Scientific. This book was released on 2020-06-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap.It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part 'PHYSICS' presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book 'SYNTHESIS', is where the ideas borrowed from physics are used to study purely mathematical phenomena.

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.

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.

Harmonic Superspace

Author : A. S. Galperin
Publisher : Cambridge University Press
ISBN 13 : 1139430491
Total Pages : 322 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Harmonic Superspace by : A. S. Galperin

Download or read book Harmonic Superspace written by A. S. Galperin and published by Cambridge University Press. This book was released on 2001-09-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by exciting developments in superstring theory, this is a pedagogical and comprehensive introduction to the harmonic superspace method in extended supersymmetry. The authors (credited with inventing the technique) are recognised as world experts on the subject and present a clear account of its formalism and applications.

Supersymmetry and Supergravity

Author : Julius Wess
Publisher : Princeton University Press
ISBN 13 : 0691212937
Total Pages : 272 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Supersymmetry and Supergravity by : Julius Wess

Download or read book Supersymmetry and Supergravity written by Julius Wess and published by Princeton University Press. This book was released on 2020-05-05 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This widely acclaimed introduction to N = 1 supersymmetry and supergravity is aimed at readers familiar with relativistic quantum field theory who wish to learn about the supersymmetry algebra. In this new volume Supersymmetry and Supergravity has been greatly expanded to include a detailed derivation of the most general coupling of super-symmetric gauge theory to supergravity. The final result is the starting point for phenomenological studies of supersymmetric theories. The book is distinguished by its pedagogical approach to supersymmetry. It develops several topics in advanced field theory as the need arises. It emphasizes the logical coherence of the subject and should appeal to physicists whose interests range from the mathematical to the phenomenological. In praise of the first edition: "A beautiful exposition of the original ideas of Wess and Zumino in formulating N = 1 supersymmetry and supergravity theories, couched in the language of superfields introduced by Strathdee and the reviewer.... [All] serious students of particle physics would do well to acquire a copy."--Abdus Salam, Nature "An excellent introduction to this exciting area of theoretical physics."--C. J. Isham, Physics Bulletin

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.

Quantum Non-linear Sigma-Models

Author : Sergei V. Ketov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540674610
Total Pages : 436 pages
Book Rating : 4.6/5 (746 download)

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Book Synopsis Quantum Non-linear Sigma-Models by : Sergei V. Ketov

Download or read book Quantum Non-linear Sigma-Models written by Sergei V. Ketov and published by Springer Science & Business Media. This book was released on 2000-09-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a systematic presentation of the modern quantum field theory of non-linear sigma-models. These models are very popular in theoretical high energy physics, string theory, and statistical physics. The geometric and quantum renormalization properties of the most general non-linear sigma-models are considered in detail within the framework of quantum perturbation theory. The main applications to be considered in the book can be found in string theory, conformal field theory, and general relativity.

An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

Author : Ilarion V. Melnikov
Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov

Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

Supersymmetric Mechanics - Vol. 3

Author : Stefano Bellucci
Publisher : Springer
ISBN 13 : 3540795235
Total Pages : 379 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Supersymmetric Mechanics - Vol. 3 by : Stefano Bellucci

Download or read book Supersymmetric Mechanics - Vol. 3 written by Stefano Bellucci and published by Springer. This book was released on 2008-09-18 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume in a series of books on general topics in supersymmetric mechanics. This collection presents material from the well established international and annual INFN-Laboratori Nazionali di Frascati Winter School on the Attractor Mechanism.

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

Author : Pierre Binetruy
Publisher : OUP Oxford
ISBN 13 : 0191523259
Total Pages : 532 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Supersymmetry by : Pierre Binetruy

Download or read book Supersymmetry written by Pierre Binetruy and published by OUP Oxford. This book was released on 2006-11-09 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the basic concepts of supersymmetric theories. It is aimed at theorists, experimentalists and cosmologists interested in supersymmetry, and its content is correspondingly divided into three distinct tracks of study. The topics covered include a discussion of the motivation for supersymmetry in fundamental physics, a description of the minimal supersymmetric model as well as models of grand unification and string models, a presentation of the main scenarios for supersymmetry breaking, including the concepts and results of dynamical breaking. On the astrophysics/cosmology side, the book includes discussions of supersymmetric dark matter candidates, inflation, dark energy, and the cosmological constant problem. Some very basic knowledge of quantum field theory is needed and extensive appendices (in particular an introduction to the Standard Model of fundamental interactions) allow the reader to refresh and complete their notions.

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.

Supersymmetric Field Theories

Author : Sergio Cecotti
Publisher : Cambridge University Press
ISBN 13 : 1107053811
Total Pages : 425 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Supersymmetric Field Theories by : Sergio Cecotti

Download or read book Supersymmetric Field Theories written by Sergio Cecotti and published by Cambridge University Press. This book was released on 2015-01-08 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira-Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.

Duality and Supersymmetric Theories

Author : David I. Olive
Publisher : Cambridge University Press
ISBN 13 : 9780521641586
Total Pages : 496 pages
Book Rating : 4.6/5 (415 download)

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Book Synopsis Duality and Supersymmetric Theories by : David I. Olive

Download or read book Duality and Supersymmetric Theories written by David I. Olive and published by Cambridge University Press. This book was released on 1999-07-08 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic introduction to electromagnetic duality and its generalisations. The authors are the leading figures in this exciting new area of mathematical physics, and their lectures have been organised not only to link with each other but also to describe the fundamental ideas, the latest developments, and some earlier work whose significance has only recently become apparent. This will be essential reading for all those working in mathematical physics.