Conformal Field Theory

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see also String theory


Conformal Field Theory
by P. Di Francesco, P. Mathieu, and D. Senechal (Springer Verlag, 1997)
This encyclopedic reference is a favourite among string theorists.


Conformal field theory on the plane
by Sylvain Ribault (1406.4290 [hep-th], 118 pages)
This review puts an emphasis on non-rational theories such as Liouville theory, using the bootstrap approach.

Superspace conformal field theory
by Thomas Quella, Volker Schomerus (1307.7724 [hep-th], 50 pages; several figures)
This review deals with the case of superspace sigma models, which are examples of logarithmic CFTs.

Twenty-five years of two-dimensional rational conformal field theory
by Jürgen Fuchs, Ingo Runkel, Christoph Schweigert (0910.3145 [hep-th])

Conformal Field Theory and Statistical Mechanics
by John Cardy (0807.3472 [cond-mat.stat-mech], 37 pages)

An Introduction to Conformal Field Theory
by M.R. Gaberdiel (hep-th/9910156, 69 pages)
This review follows an algebraic approach, with an emphasis on the relevant mathematical structures.

Conformal field theory: a case study
by Krzysztof Gawedzki (hep-th/9904145, 55 pages, 21 figures)
These lecture notes are devoted to the Wess-Zumino-Witten model of two-dimensional conformal field theory.

Applied Conformal Field Theory
by P. Ginsparg (hep-th/9108028)
These lecture notes are a valuable reference on conformal field theory and Kac-Moody algebras.

Introduction to Conformal Field Theory
by A. N. Schellekens
These are notes based on lectures given at schools in Germany and Spain in 1995.