An Introduction to Conformal Field Theory
by Matthias R Gaberdiel
Publisher: arXiv 1999
Number of pages: 69
A comprehensive introduction to two-dimensional conformal field theory is given. Conformal field theories have been at the center of much attention during the last fifteen years since they are relevant for at least three different areas of modern theoretical physics: conformal field theories provide toy models for genuinely interacting quantum field theories, they describe two-dimensional critical phenomena, and they play a central role in string theory, at present the most promising candidate for a unifying theory of all forces.
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by Warren Siegel
It covers classical and quantum field theory, including many recent topics at an introductory yet nontrivial level: supersymmetry, general relativity, supergravity, strings, 1/N expansion in QCD, spacecone, many useful gauges, etc.
by Graeme Segal - Duke University
Contents: Topological field theories (The basic structure, The 'toy model' for a finite group, Open Strings, Area-dependent theories); The Index and Determinant of the Dirac Operator; Braided tensor categories; String algebras.
by Jan Ambjorn - arXiv.org
From the table of contents: Introduction; Bosonic propagators and random paths; Random surfaces and strings; Matrix models and two-dimensional quantum gravity; The mystery of c>1; Euclidean quantum gravity in d>2; Discussion.
by Yasuyuki Kawahigashi - arXiv
This is a set of lecture notes on the operator algebraic approach to 2-dimensional conformal field theory. Representation theoretic aspects and connections to vertex operator algebras are emphasized. No knowledge on operator algebras is assumed.