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 Conformal field  


  
A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics)
M. Schottenloher

Springer, 2008

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 ...
  
  











  



  
Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random ...
Claude Itzykson, Jean-Michel Drouffe

Cambridge University Press, 1991

The second volume covers diverse topics, including strong coupling expansions and their analysis, Monte Carlo simulations, two-dimensional conformal field theory, and simple disordered systems. The book concludes with a chapter on random geometry and the Polyakov model of random surfaces, which illustrates the relations between string theory and ...
  
  











  



  
Quantum Field Theory Conformal Group Theory Conformal Field Theory: Mathematical and Conceptual Foundations ...
R. Mirman

Backinprint.com, 2005

Awkward...
First published in 2001 and now republished, this book is completely different from what you would expect from a "normal" textbook on mathematical physics. It has more text than formulae and the text is more or less a soup of self-citations and filled with personal ...
  
  











  



  
Conformal Invariance and Critical Phenomena (Theoretical and Mathematical Physics)
Malte Henkel

Springer, 1999

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. ...
  
  











  



  
Conformal Field Theory with Gauge Symmetry (Fields Institute Monographs)
Kenji Ueno

American Mathematical Society, 2008

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 ...
  
  











  



  
Conformal Field Theory: New Non-perturbative Methods In String And Field Theory (Frontiers in Physics)
Yavuz Nutku, Cihan Saclioglu, ...

Westview Press, 2004

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 ...
  
  











  



  
Conformal Groups in Geometry and Spin Structures (Progress in Mathematical Physics)
Pierre Anglès

Birkhäuser Boston, 2007

A unique book of its kind
This book is a real treasure case. It is not an easy book, yet it contains material that is impossible to find in other books dealing with Clifford algebras and conformal structures. Therefore it has an encyclopedic value. A quick look at the table of content will ...
  
  











  



  
Conformal Field Theory (Graduate Texts in Contemporary Physics)
Philippe Di Francesco, Pierre Mathieu, ...

Springer, 1999

This is a great book for beginners to learn CFT.
This book is really well done. It introduce the theory of conformal fields in a really pedagogical way so that any person not familiar at all with the subject can enjoy it. The review of quantum field theory and statistical mechanics at the begining is excellent and ...
  
  











  



  
Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts. Representations of ...

Springer, 1994

Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - ...
  
  











  



  
Conformal invariance in quantum field theory (Publications of the Scuola Normale Superiore)
Ivan T. Todorov, Mihail C. Mintchev, ...

Edizioni della Normale, 2007

The present volume is an extended and up-to-date version of two sets of lectures by the first author and it reviews more recent work. The notes aim to present a self-contained exposition of a constructive approach to conformal invariant quantum field theory. Other parts in application of the conformal group to quantum physics are only briefly ...
  
  











  



  
Conformal Quantum Field Theory in D-Dimensions (Mathematics and Its Applications)
E.S. Fradkin, Mark Ya. Palchik

Springer, 1996

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 ...
  
  











  



  
Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory ...
Jürgen A. Fuchs

Cambridge University Press, 1995

Affine Lie Algebras and Quantum Groups: An Introduction
A very good book, that takes every steps you need to know in Affine Lie Algebras and Quantum Groups.
  
  











  



  
Frontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and ...

Springer, 2007

The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on ...
  
  











  



  
Chiral Algebras (Colloquium Publications (Amer Mathematical Soc))
Alexander Beilinson, Vladimir Drinfeld

American Mathematical Society, 2004

This long-awaited publication contains the results of the research of two distinguished professors from the University of Chicago, Alexander Beilinson and Fields Medalist Vladimir Drinfeld. Years in the making, this is a one-of-a-kind book featuring previously unpublished material. Chiral algebras form the primary algebraic structure of modern ...
  
  











  



  
Strings, Conformal Fields, and Topology (Graduate Texts in Contemporary Physics)
Michio Kaku

Springer-Verlag, 1991

Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review ...
  
  











  



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This is a great book for beginners to learn CFT.

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