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Concise Encyclopedia of Supersymmetry

Concise Encyclopedia of Supersymmetry
Author: Steven Duplij
Publisher: Springer Science & Business Media
Total Pages: 516
Release: 2005-11-07
Genre: Science
ISBN: 1402013388

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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.


Introduction to Supersymmetry

Introduction to Supersymmetry
Author: Peter G. O. Freund
Publisher: Cambridge University Press
Total Pages: 168
Release: 1986
Genre: Science
ISBN: 9780521356756

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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 for Mathematicians: An Introduction

Supersymmetry for Mathematicians: An Introduction
Author: V. S. Varadarajan
Publisher: American Mathematical Soc.
Total Pages: 311
Release: 2004
Genre: Mathematics
ISBN: 0821835742

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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

Supersymmetry in Mathematics and Physics
Author: Sergio Ferrara
Publisher: Springer Science & Business Media
Total Pages: 279
Release: 2011-08-28
Genre: Mathematics
ISBN: 3642217435

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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

Supersymmetry
Author: Vladimir K. Dobrev
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 345
Release: 2018-09-24
Genre: Mathematics
ISBN: 3110526697

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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


Mathematical Foundations of Supersymmetry

Mathematical Foundations of Supersymmetry
Author: Claudio Carmeli
Publisher: European Mathematical Society
Total Pages: 308
Release: 2011
Genre: Lie algebras
ISBN: 9783037190975

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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.


Special Metrics and Supersymmetry

Special Metrics and Supersymmetry
Author: Luis Carlos de Andrés
Publisher: American Institute of Physics
Total Pages: 220
Release: 2009-02-25
Genre: Mathematics
ISBN:

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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 and Noncommutative Geometry

Supersymmetry and Noncommutative Geometry
Author: Wim Beenakker
Publisher: Springer
Total Pages: 146
Release: 2015-10-22
Genre: Science
ISBN: 3319247980

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In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far.The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic `building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model.This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories.


Five Lectures on Supersymmetry

Five Lectures on Supersymmetry
Author: Daniel S. Freed
Publisher: American Mathematical Soc.
Total Pages: 132
Release:
Genre: Science
ISBN: 9780821871935

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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.


Advances in Geometry and Lie Algebras from Supergravity

Advances in Geometry and Lie Algebras from Supergravity
Author: Pietro Giuseppe Frè
Publisher: Springer
Total Pages: 570
Release: 2018-02-24
Genre: Science
ISBN: 3319744917

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This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.