# Difference between revisions of "Conformal Field Theory"

(Added one recent review, plus descriptions of two of the other texts.) |
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[http://arxiv.org/abs/1406.4290 Conformal field theory on the plane]<br> | [http://arxiv.org/abs/1406.4290 Conformal field theory on the plane]<br> | ||

by Sylvain Ribault (1406.4290 [hep-th], 118 pages)<br> | by Sylvain Ribault (1406.4290 [hep-th], 118 pages)<br> | ||

This review puts an emphasis on non-rational theories such as Liouville theory, using the bootstrap approach. | This review puts an emphasis on non-rational theories such as Liouville theory, using the bootstrap approach. | ||

[http://arxiv.org/abs/1307.7724 Superspace conformal field theory]<br> | [http://arxiv.org/abs/1307.7724 Superspace conformal field theory]<br> | ||

by Thomas Quella, Volker Schomerus (1307.7724 [hep-th], 50 pages; several figures)<br> | by Thomas Quella, Volker Schomerus (1307.7724 [hep-th], 50 pages; several figures)<br> | ||

This review deals with the case of superspace sigma models, which are examples of logarithmic CFTs. | This review deals with the case of superspace sigma models, which are examples of logarithmic CFTs. | ||

[http://arxiv.org/abs/0910.3145 Twenty-five years of two-dimensional rational conformal field theory]<br> | [http://arxiv.org/abs/0910.3145 Twenty-five years of two-dimensional rational conformal field theory]<br> | ||

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[http://arxiv.org/abs/hep-th/9910156 An Introduction to Conformal Field Theory]<br> | [http://arxiv.org/abs/hep-th/9910156 An Introduction to Conformal Field Theory]<br> | ||

by M.R. Gaberdiel (hep-th/9910156, 69 pages)<br> | by M.R. Gaberdiel (hep-th/9910156, 69 pages)<br> | ||

This review follows an algebraic approach, with an emphasis on the relevant mathematical structures | This review follows an algebraic approach, with an emphasis on the relevant mathematical structures. | ||

[http://arxiv.org/abs/hep-th/9904145 Conformal field theory: a case study]<br> | [http://arxiv.org/abs/hep-th/9904145 Conformal field theory: a case study]<br> |

## Latest revision as of 05:25, 5 May 2015

see also String theory

### Books

**Conformal Field Theory**

by P. Di Francesco, P. Mathieu, and D. Senechal (Springer Verlag, 1997)

This encyclopedic reference is a favourite among string theorists.

### Reviews

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.