Conformal Field Theory On Affine Lie Groups
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Conformal Field Theory On Affine Lie Groups
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Author : Kenneth Sherman Clubok
language : en
Publisher:
Release Date : 1996
Conformal Field Theory On Affine Lie Groups written by Kenneth Sherman Clubok and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Affine Lie Algebras And Quantum Groups
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Author : Jürgen Fuchs
language : en
Publisher: Cambridge University Press
Release Date : 1995-03-09
Affine Lie Algebras And Quantum Groups written by Jürgen Fuchs 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 1995-03-09 with Mathematics categories.
This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.
Conformal Field Theory On Affine Lie Groups
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Author :
language : en
Publisher:
Release Date : 1996
Conformal Field Theory On Affine Lie Groups written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Recent Developments In Infinite Dimensional Lie Algebras And Conformal Field Theory
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Author : Stephen Berman
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Recent Developments In Infinite Dimensional Lie Algebras And Conformal Field Theory written by Stephen Berman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ``Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. Thisconference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlightedapplications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.
Conformal Field Theory And Lie Algebras
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Author : Cvjetan Jakovljevic
language : en
Publisher:
Release Date : 1996
Conformal Field Theory And Lie Algebras written by Cvjetan Jakovljevic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Dissertations, Academic categories.
Conformal Field Theory
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Author : Philippe Francesco
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Conformal Field Theory written by Philippe Francesco 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 2012-12-06 with Science categories.
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Conformal Field Theory And Solvable Lattice Models
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Author : M Jimbo
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Conformal Field Theory And Solvable Lattice Models written by M Jimbo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Advanced Studies in Pure Mathematics, 16: Conformal Field Theory and Solvable Lattice Models contains nine papers based on the symposium "Conformal field theory and solvable lattice models" held at RIMS, Kyoto, May 1986. These papers cover the following active areas in mathematical physics: conformal field theory, solvable lattice models, affine and Virasoro algebra, and KP equations. The volume begins with an analysis of 1 and 2 point correlation functions of the Gibbs measure of random matrices. This is followed by separate chapters on solvable solid-on-solid (SOS) models; lectures on conformal field theory; the construction of Fermion variables for the 3D Ising Model; and vertex operator construction of null fields (singular vertex operators) based on the oscillator representation of conformal and superconformal algebras with central charge extention. Subsequent chapters deal with Hecke algebra representations of braid groups and classical Yang-Baxter equations; the relationship between the conformal field theories and the soliton equations (KdV, MKdV and Sine-Gordon, etc.) at both quantum and classical levels; and a supersymmetric extension of the Kadomtsev-Petviashvili hierarchy.
Conformal Field Theory With Gauge Symmetry
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Author : Kenji Ueno
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Conformal Field Theory With Gauge Symmetry written by Kenji Ueno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. After presenting the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras in Chapters 1 and 2, conformal blocks for pointed Riemann surfaces with coordinates are constructed in Chapter 3. In Chapter 4 the sheaf of conformal blocks associated to a family of pointed Riemann surfaces withcoordinates is constructed, and in Chapter 5 it is shown that this sheaf supports a projective flat connection-one of the most important facts of conformal field theory. Chapter 6 is devoted to the study of the detailed structure of the conformal field theory over $\mathbb{P}1$.Recently it was shown that modular functors can be constructed from conformal field theory, giving an interesting relationship between algebraic geometry and topological quantum field theory. This book provides a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor.
Conformal Field Theory
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Author : Source Wikipedia
language : en
Publisher: University-Press.org
Release Date : 2013-09
Conformal Field Theory written by Source Wikipedia and has been published by University-Press.org this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 34. Chapters: AdS/CFT correspondence, Affine Lie algebra, Algebraic holography, Anomalous scaling dimension, Banks-Zaks fixed point, Boundary conformal field theory, C-theorem, Chiral algebra, Classical scaling dimension, Conformal anomaly, Conformal family, Conformal symmetry, Coset conformal field theory, Coset construction, Critical phenomena, Critical point (thermodynamics), Critical variable, Fusion rules, Infrared fixed point, Irrational conformal field theory, Kerr/CFT correspondence, Knizhnik-Zamolodchikov equations, Lie conformal algebra, Liouville field theory, Logarithmic conformal field theory, Minimal models, N = 2 superconformal algebra, Operator product expansion, Polyakov action, Primary field, Quantum KZ equations, RST model, Scale invariance, Singleton field, Special conformal transformation, Sugawara theory, Super Virasoro algebra, Twisted sector, UV fixed point, Verlinde algebra, Vertex operator algebra, W-algebra, Wess-Zumino-Witten model, Witt algebra, Yang-Baxter equation.
Conformal Field Theory And Topology
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Author : Toshitake Kohno
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Conformal Field Theory And Topology written by Toshitake Kohno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariantfor 3-manifolds derived from Chern-Simons gauge theory. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometryas well. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treatsChern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.