Supergravity And Superstrings: A Geometric Perspective (In 3 Volumes)
Supergravity And Superstrings: A Geometric Perspective (In 3 Volumes)

Author: Leonardo Castellani

Publisher: World Scientific Publishing Company

Published: 1991-06-11

Total Pages: 2220

ISBN-13: 9814590738

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This book provides a self-contained presentation of supergravity theories from its fundamentals to its most recent union with string and superstring theories, which are also reviewed in a self-contained manner. The subject is presented consistently in a unified geometric formalism, relying on the calculus of exterior forms and the mathematics needed to develop the theory is explained in appropriate chapters.

The World in Eleven Dimensions
The World in Eleven Dimensions

Author: M.J Duff

Publisher: CRC Press

Published: 1999-01-01

Total Pages: 513

ISBN-13: 1482268736

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A unified theory embracing all physical phenomena is a major goal of theoretical physics. In the early 1980s, many physicists looked to eleven-dimensional supergravity in the hope that it might provide that elusive superunified theory. In 1984 supergravity was knocked off its pedestal by ten-dimensional superstrings, one-dimensional objects whose v

Theoretical Physics at the End of the Twentieth Century
Theoretical Physics at the End of the Twentieth Century

Author: Yvan Saint-Aubin

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 646

ISBN-13: 1475736711

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Based on courses given at the CRM Banff summer school in 1999, this volume provides a snapshot of topics engaging theoretical physicists at the end of the twentieth century and the beginning of the twenty-first. Young physicists will find in these chapters pedagogical introductions to subjects currently active in theoretical physics, and more seasoned physicists will find a chance to share the excitement of fields outside their immediate research interests.

Strings, Branes And Gravity (Tasi 1999)
Strings, Branes And Gravity (Tasi 1999)

Author: Jeffrey A Harvey

Publisher: World Scientific

Published: 2001-10-19

Total Pages: 954

ISBN-13: 9814489948

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Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspects and the exciting new experimental evidence for a non-zero cosmological constant.

Combinatorial Aspects of Lie Superalgebras
Combinatorial Aspects of Lie Superalgebras

Author: Alexander A. Mikhalev

Publisher: CRC Press

Published: 1995-06-09

Total Pages: 276

ISBN-13: 9780849389603

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Combinatorial Aspects of Lie Superalgebras emphasizes the algorithmic and computational aspects of the combinatorial techniques of Lie superalgebras. It is written primarily for mathematicians and scientists who do not have a background in the field of infinite dimensional Lie superalgebras, but who realize the potential uses of the results. Consequently, the discussions provided on the applications of Lie superalgebras theory are clear and comprehensive and, throughout the text, primary attention is given to algorithms and examples. The examples illustrate theoretical results, and the algorithms, which can be used for symbolic calculations with Lie superalgebras, are based on basic and generally applicable rules and theorems. Combinatorial Aspects of Lie Superalgebras contains comprehensive literature citations and provides an excellent reference on the techniques and results of combinatorial theory of Lie superalgebras. Programs that have been developed by the authors for computation are included on a diskette at the back of the book, and complete directions for use are provided.

Groups and Manifolds
Groups and Manifolds

Author: Pietro Giuseppe Fré

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2017-12-18

Total Pages: 498

ISBN-13: 3110551209

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Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.

Supersymmetric Field Theories
Supersymmetric Field Theories

Author: Sergio Cecotti

Publisher: Cambridge University Press

Published: 2015-01-08

Total Pages: 425

ISBN-13: 1316214001

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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.

New Spaces in Physics: Volume 2
New Spaces in Physics: Volume 2

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04-01

Total Pages: 438

ISBN-13: 1108848206

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After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory. It is addressed primarily to mathematical physicists and mathematicians, but also to historians and philosophers of these disciplines.