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Strings, Conformal Fields, and M-Theory Second Edition

Strings, Conformal Fields, and M-Theory Second Edition more books like this

by Michio Kaku

String theory continues to progress at an astonishing rate, and this book brings the reader up to date with the latest developments and the most active areas of research in the field. Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string ...

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Conformal Field Theory

Conformal Field Theory more books like this

by P Di Francesco, Pierre Mathieu, Philippe Di Francesco

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 ...

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Conformal Invariance and Critical Phenomena

Conformal Invariance and Critical Phenomena more books like this

by Malte Henkel, R Balian (Editor), H Spohn (Editor)

This book provides an introduction to conformal field theory and a review of its applications to critical phenomena in condensed-matter systems. After reviewing simple phase transitions and explaining the foundations of conformal invariance and the algebraic methods required, it proceeds to the explicit calculation of four-point correlators. ...

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Quantum Groups in Two-Dimensional Physics

Quantum Groups in Two-Dimensional Physics more books like this

by Gómez, Ruiz-Altaba, Sierra

This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins with a brief introduction to S-matrices, spin chains and vertex models as a prelude to the study of Yang-Baxter algebras and the Bethe ansatz. The basic ideas of integrable systems are then introduced, giving particular ...

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A Mathematical Introduction to Conformal Field Theory

A Mathematical Introduction to Conformal Field Theory more books like this

by M Schottenloher

The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal ...

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Conformal Field Theory: New Non-Perturbative Methods in String and Field Theory

Conformal Field Theory: New Non-Perturbative Methods in String and Field Theory more books like this

by Yavuz Nutku (Editor), Cihan Saclioglu (Editor), Teoman Turgut (Editor)

Quantum field theory has been with us for over 75 years, but it is only in the last 25 that physicists and mathematicians have jointly ventured out to explore its realms beyond the reach of perturbation theory, to the great benefit of both disciplines. Conformal Field Theory consists of pedagogical lectures delivered at the Feza Gursey Institute, ...

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Affine Lie Algebras and Quantum Groups

Affine Lie Algebras and Quantum Groups more books like this

by Jurgen Fuchs

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. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular ...

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Conformal Field Theory: New Non-Perturbative Methods in String and Field Theory

Conformal Field Theory: New Non-Perturbative Methods in String and Field Theory more books like this

by Cihan Saclioglu, Teoman Turgut, Yavuz Nutku

An exciting look at one of the cutting-edge research areas in mathematical physics. } Conformal Field Theory consists of pedagogical lectures delivered at the Feza Gursey Institute, Istanbul, in the summer of 1998 on the following topics: Non-perturbative dynamics of 4-dimensional Field theories (P. Argyres, Cornell University), 2-Dimensional QCD ...

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Quantum Groups in Two-Dimensional Physics

Quantum Groups in Two-Dimensional Physics more books like this

by Cisar Gomez, Martm Ruiz-Altaba, German Sierra

This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins with a brief introduction to S-matrices, spin chains and vertex models as a prelude to the study of Yang-Baxter algebras and the Bethe ansatz. The basic ideas of integrable systems are then introduced, giving particular ...

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Conformal Field Theory and Topology

Conformal Field Theory and Topology more books like this

by Toshitake Kohno

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. 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 ...

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Conformal Quantum Field Theory in D-Dimensions more books like this

by Efim S Fradkin, Mark YA Palchik

This volume reviews recent developments in conformal quantum field theory in D-dimensions, and focuses on two main aims. Firstly, the promising trend is followed toward constructing an exact solution for a certain class of models. Work on the conformal Ward identities in a D-dimensional space in the late '70s suggests a parallel with the null ...

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Conformal Field Theory with Gauge Symmetry more books like this

by Kenji Uneo

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 ...

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Conformal Invariants, Inequalities, and Quasiconformal Maps more books like this

by Glen D. Anderson, Mavina K. Vamanamurthy, Matti Vuorinen

A unified view of conformal invariants from the point of view of applications in geometric function theory and applications and quasiconformal mappings in the plane and in space.

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Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory more books like this

by Thomas M Fiore

In this paper we develop the categorical foundations needed for working out completely the rigorous approach to the definition of conformal field theory outlined by Graeme Segal. We discuss pseudo algebras over theories and 2-theories, their pseudo morphisms, bilimits, bicolimits, biadjoints, stacks, and related concepts. These 2-categorical ...

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Conformal Field Theory more books like this

by Sergei V Ketov

The main idea used in this text is that the conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the many applications of the theory, the author has put forward a discussion of the general methods of the Conformal Field Theory as a physical theory.

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W-Symmetry more books like this

by P. Bouwknegt

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 ...

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Conformal Algebra in Space-Time and Operator Product Expansion more books like this

by S Ferrara

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Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory: Proceedings of an International Conference on Infinite-Dimensional Lie Theory and Conformal Field Theory, May 23-27, 2000, University of Virginia, Charlottesville... more books like this

by Stephen Berman

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 ...

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Conformal Invariance & Applications to Statistical Mechanics more books like this

by Claude Itzykson, J. B. Zuber, H. Saleur

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A Mathematical Introduction to Conformal Field Theory: Based on a Series of Lectures Given at the Mathematisches Institut Der Universitdt Hamburg more books like this

by Martin Schottenloher

This work is divided into two parts, the first provides an exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The conformal groups are determined and the appearence of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of ...

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Differential Geometric Methods in Theoretical Physics: Physics and Geometry more books like this

by Ling-Lie Chau

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Conformal invariance and string theory more books like this

by P Dita

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Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups more books like this

by Paul Sally

This book contains papers presented by speakers at the AMS-IMS-SIAM Joint Summer Research Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups, held at Mount Holyoke College in June 1992. One group of papers deals with one aspect of conformal field theory, namely, vertex operator algebras or superalgebras and their ...

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Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory more books like this

by Jurgen Fuchs

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. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular ...

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Mirror Symmetry II more books like this

by B. Greene

Mirror symmetry has undergone dramatic progress since the Mathematical Sciences Research Institute (MSRI) workshop in 1991, whose proceedings constitute volume I of this continuing collection. Tremendous insight has been gained on a number of key issues and this volume surveys these results. The areas covered are organized into four sections, and ...

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