The W3 Algebra

Author : Peter Bouwknegt,Jim McCarthy,Krzysztof Pilch
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 45,8 Mb
Release : 2008-09-11
Category : Science
ISBN : 9783540687191

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The W3 Algebra by Peter Bouwknegt,Jim McCarthy,Krzysztof Pilch Pdf

The study of W algebras began in 1985 in the context of two-dimensional conf- mal field theories, the aim being to explore higher-spin extensions of the Virasoro algebra. Given the simultaneous growth in the understanding of two-dimensional metric gravity inspired by analyses of string models, it was inevitable that these algebras would be applied to give analogues of putative higher-spin gravity t- ories. This book is an exposition of the past few years of our work on such an application for the algebra: in particular, the BRST quantization of the n- critical 4D string. We calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV algebra, for which we provide a geometrical model. The algebra has one further generator, of spin three, in addition to the (spin two) energy-momentum tensor which generates the Virasoro algebra. C- trary to the Virasoro algebra, it is an algebra defined by nonlinear relations. In deriving our understanding of the resulting gravity theories we have had to - velop a number of results on the representation theory of W algebras, to replace the standard techniques that were so successful in treating linear algebras.

Author : Alexander A. Ivanov
Publisher : Cambridge University Press
Page : 584 pages
File Size : 40,6 Mb
Release : 2023-08-17
Category : Mathematics
ISBN : 9781009338059

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Algebraic Combinatorics and the Monster Group by Alexander A. Ivanov Pdf

Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.

Author : Itzhak Bars,Peter Bouwknegt,Joseph A Minahan,Dennis Nemeschansky,Krzysztof Pilch,Hubert Michel Saleur,Nicholas P Warner
Publisher : World Scientific
Page : 542 pages
File Size : 47,8 Mb
Release : 1996-11-09
Category : Electronic
ISBN : 9789814548465

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Future Perspectives In String Theory, Strings '95 - Proceedings Of The Conference by Itzhak Bars,Peter Bouwknegt,Joseph A Minahan,Dennis Nemeschansky,Krzysztof Pilch,Hubert Michel Saleur,Nicholas P Warner Pdf

The areas covered in this volume include: duality in string theory and supersymmetric gauge theories; phenomenological applications of string theory; strings in curved spacetime; quantum gravity; SUSY conformal field theories; QCD strings; aspects of mathematical physics, including: mirror symmetry, W-algebras, representation theory.

Author : Gava E,Narain Kumar Shiv,Randjbar-daemi Seifallah
Publisher : World Scientific
Page : 748 pages
File Size : 40,7 Mb
Release : 1993-08-16
Category : Electronic
ISBN : 9789814553278

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High Energy Physics And Cosmology - Proceedings Of The 1992 Summer School by Gava E,Narain Kumar Shiv,Randjbar-daemi Seifallah Pdf

Author : Pati Jogesh C,Randjbar-daemi Seifallah,Sezgin Ergin
Publisher : #N/A
Page : 732 pages
File Size : 48,9 Mb
Release : 1991-05-16
Category : Electronic
ISBN : 9789814569491

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High Energy Physics And Cosmology - Proceedings Of The 1990 Summer School by Pati Jogesh C,Randjbar-daemi Seifallah,Sezgin Ergin Pdf

This School presented topics of current interest in high energy physics including Superstrings, Unified Theories and Cosmology.

Author : P N Pyatov,S N Solodukhin
Publisher : World Scientific
Page : 222 pages
File Size : 46,6 Mb
Release : 1996-04-25
Category : Electronic
ISBN : 9789814549028

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Geometry And Integrable Models: Proceedings Of The Workshop by P N Pyatov,S N Solodukhin Pdf

These proceedings are aimed at providing an advanced survey of topics in contemporary theoretical physics: integrable models, geometrical aspects of quantization, quantum groups, W-algebras, exactly solvable models of 2D and higher-dimensional gravity. A special emphasis is made on a deep interplay of algebra, geometry and modern physics.

Author : Frank Nijhoff,Yang Shi,Da-jun Zhang
Publisher : Springer Nature
Page : 240 pages
File Size : 53,5 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9783030570002

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Asymptotic, Algebraic and Geometric Aspects of Integrable Systems by Frank Nijhoff,Yang Shi,Da-jun Zhang Pdf

This proceedings volume gathers together selected works from the 2018 “Asymptotic, Algebraic and Geometric Aspects of Integrable Systems” workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday. The papers cover recent advances in asymptotic, algebraic and geometric methods in the study of discrete integrable systems. The workshop brought together experts from fields such as asymptotic analysis, representation theory and geometry, creating a platform to exchange current methods, results and novel ideas. This volume's articles reflect these exchanges and can be of special interest to a diverse group of researchers and graduate students interested in learning about current results, new approaches and trends in mathematical physics, in particular those relevant to discrete integrable systems.

Author : P. Bouwknegt,K. Schoutens
Publisher : World Scientific
Page : 916 pages
File Size : 51,5 Mb
Release : 1995
Category : Science
ISBN : 9810217625

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W-symmetry by P. Bouwknegt,K. Schoutens Pdf

W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions of the Virasoro algebra. This book contains a collection of papers on W-symmetry, covering the period from 1985 through 1993. Its main focus is the construction of W-algebras and their representation theory. A recurrent theme is the intimate connection between W-algebras and affine Lie algebras. Some of the applications, in particular W-gravity, are also covered.The significance of this reprint volume is that there are no textbooks entirely devoted to the subject.

Author : L. Bonora,Giuseppe Mussardo,A. Schwimmer,L. Girardello,M. Martellini
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 53,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489915160

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Integrable Quantum Field Theories by L. Bonora,Giuseppe Mussardo,A. Schwimmer,L. Girardello,M. Martellini Pdf

Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992

Author : Sumit R Das,Sunil Mukhi,Spenta R Wadia,Gautam Mandal
Publisher : World Scientific
Page : 342 pages
File Size : 51,7 Mb
Release : 1995-08-31
Category : Electronic
ISBN : 9789814548694

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Modern Quantum Field Theory Ii - Proceedings Of The International Colloquium by Sumit R Das,Sunil Mukhi,Spenta R Wadia,Gautam Mandal Pdf

The proceedings reflect a broad spectrum of topics in contemporary theoretical physics: quantum aspects of black holes; recent progress in critical and noncritical string theory; spin chains quantum hall effect and generalized statistics; stochastic dynamics turbulence and reaction kinetics; foundations of quantum mechanics; new statistics in field theory; quantum field theory on Riemann surfaces and knot theory; lattice field theories. The lectures present developments in the frontiers of these subjects and provide interdisciplinary links between the areas.

Author : Sergei V Ketov
Publisher : World Scientific
Page : 502 pages
File Size : 54,7 Mb
Release : 1995-02-28
Category : Science
ISBN : 9789814502528

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Conformal Field Theory by Sergei V Ketov Pdf

Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and “conformal” intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.

Author : Itoyama H,Schoutens Kareljan,Siegel Warren
Publisher : #N/A
Page : 616 pages
File Size : 55,6 Mb
Release : 1992-08-13
Category : Electronic
ISBN : 9789814555852

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Strings And Symmetries 1991 by Itoyama H,Schoutens Kareljan,Siegel Warren Pdf

This is a collection of important papers presented by an international group of outstanding scientists at a seminar on strings and symmetries held in Stony Brook. This volume contains reviews on modern string theory and particle physics, including supersymmetric quantization, supergravity, conformal field theory, topological field theory, string phenomenology, matrix models, and W gravity. This proceedings is both an excellent introduction as well as reference source for researchers.

Author : E Gava,K Narain,Seifallah Randjbar-daemi,Ergin Sezgin,Qaisar Shafi
Publisher : World Scientific
Page : 1076 pages
File Size : 40,7 Mb
Release : 1992-07-20
Category : Electronic
ISBN : 9789814554725

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High Energy Physics And Cosmology - Proceedings Of The 1991 Summer School (In 2 Volumes) by E Gava,K Narain,Seifallah Randjbar-daemi,Ergin Sezgin,Qaisar Shafi Pdf

Author : M. A. Olshanetsky,Arkady Vainshtein
Publisher : World Scientific
Page : 914 pages
File Size : 47,7 Mb
Release : 2002
Category : Science
ISBN : 9812777067

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Multiple Facets of Quantization and Supersymmetry by M. A. Olshanetsky,Arkady Vainshtein Pdf

This book is dedicated to the memory of Michael Marinov, the theorist who, together with Felix Berezin, introduced the classical description of spin by anticommuting Grassmann variables. It contains original papers and reviews by physicists and mathematicians written specifically for the book. These articles reflect the current status and recent developments in the areas of Marinov''s research: quantum tunneling, quantization of constrained systems, supersymmetry, and others. The personal recollections included portray the human face of M Marinov, a person of great knowledge and integrity.

Author : Jeffrey A Harvey,Roberto Iengo,Kumar Shiv Narain,Herman L Verlinde,Seifallah Randjbar-daemi
Publisher : World Scientific
Page : 398 pages
File Size : 49,8 Mb
Release : 1992-05-07
Category : Electronic
ISBN : 9789814555722

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String Theory And Quantum Gravity '91 - Proceedings Of The Trieste Spring School And Workshop by Jeffrey A Harvey,Roberto Iengo,Kumar Shiv Narain,Herman L Verlinde,Seifallah Randjbar-daemi Pdf