Conformal Field Theory, Tensor Categories and Operator Algebras
by Yasuyuki Kawahigashi
Publisher: arXiv 2015
Number of pages: 66
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 or quantum field theory is assumed.
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by Paul Ginsparg - arXiv
An elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories; Central charge and the Virasoro algebra; Kac determinant and unitarity; etc.
by Matthias R Gaberdiel - arXiv
A comprehensive introduction to two-dimensional conformal field theory is given. Conformal field theories have been at the center of attention during the last fifteen years since they are relevant for different areas of modern theoretical physics.
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 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.