The W3 Algebra
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The W3 Algebra
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Author : Peter Bouwknegt
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11
The W3 Algebra written by Peter Bouwknegt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-11 with Science categories.
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.
Characters And Modular Transformations In The W3 Algebra
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Author : Nicholas Iles
language : en
Publisher:
Release Date : 2015
Characters And Modular Transformations In The W3 Algebra written by Nicholas Iles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
W Symmetry
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Author : P. Bouwknegt
language : en
Publisher: World Scientific
Release Date : 1995
W Symmetry written by P. Bouwknegt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
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.
Algebraic Combinatorics And The Monster Group
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Author : Alexander A. Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17
Algebraic Combinatorics And The Monster Group written by Alexander A. Ivanov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-17 with Mathematics categories.
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.
Future Perspectives In String Theory Strings 95 Proceedings Of The Conference
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Author : Itzhak Bars
language : en
Publisher: World Scientific
Release Date : 1996-11-09
Future Perspectives In String Theory Strings 95 Proceedings Of The Conference written by Itzhak Bars and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-09 with categories.
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.
High Energy Physics And Cosmology Proceedings Of The 1992 Summer School
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Author : Gava E
language : en
Publisher: World Scientific
Release Date : 1993-08-16
High Energy Physics And Cosmology Proceedings Of The 1992 Summer School written by Gava E and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-16 with categories.
High Energy Physics And Cosmology Proceedings Of The 1990 Summer School
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Author : Pati Jogesh C
language : en
Publisher: #N/A
Release Date : 1991-05-16
High Energy Physics And Cosmology Proceedings Of The 1990 Summer School written by Pati Jogesh C and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-05-16 with categories.
This School presented topics of current interest in high energy physics including Superstrings, Unified Theories and Cosmology.
Geometry And Integrable Models Proceedings Of The Workshop
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Author : P N Pyatov
language : en
Publisher: World Scientific
Release Date : 1996-04-25
Geometry And Integrable Models Proceedings Of The Workshop written by P N Pyatov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-25 with categories.
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.
Asymptotic Algebraic And Geometric Aspects Of Integrable Systems
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Author : Frank Nijhoff
language : en
Publisher: Springer Nature
Release Date : 2020-10-23
Asymptotic Algebraic And Geometric Aspects Of Integrable Systems written by Frank Nijhoff and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
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.
Joint International Lepton Photon Symposium And Europhysics Conference On High Energy Physics Lp Hep 91 In 2 Volumes
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Author : Seamus Hegarty
language : en
Publisher: World Scientific
Release Date : 1992-05-26
Joint International Lepton Photon Symposium And Europhysics Conference On High Energy Physics Lp Hep 91 In 2 Volumes written by Seamus Hegarty and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-26 with categories.
The proceedings of the Joint International Lepton-Photon Symposium and Europhysics Conference on High Energy Physics cover the full range of frontline research in high energy particle physics. The latest results, both theoretical and experimental, are presented and reviews of recent developments in instrumentation and accelerator techniques are included.Volume one summarises the highly specialised topics presented in the parallel sessions while the second volume contains the review talks given by the invited speakers.