Difference between revisions of "Conformal Field Theory"

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(Quella-Schomerus review)
(Added one recent review, plus descriptions of two of the other texts.)
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see also [[String theory]]
see also [[String theory]]


===books===
===Books===
'''Conformal Field Theory'''<br>
'''Conformal Field Theory'''<br>
by P. Di Francesco, P. Mathieu, and D. Senechal (Springer Verlag, 1997)<br>
by P. Di Francesco, P. Mathieu, and D. Senechal (Springer Verlag, 1997)<br>
This encyclopedic reference is a favourite among string theorists.
This encyclopedic reference is a favourite among string theorists.


===reviews===
===Reviews===
[http://arxiv.org/abs/1406.4290 Conformal field theory on the plane]<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.--[[User:Sylvain.Ribault|Sylvain.Ribault]] ([[User talk:Sylvain.Ribault|talk]]) 05:22, 5 May 2015 (CEST)
 
[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)
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.--[[User:Sylvain.Ribault|Sylvain.Ribault]] ([[User talk:Sylvain.Ribault|talk]]) 05:22, 5 May 2015 (CEST)


[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)
by M.R. Gaberdiel (hep-th/9910156, 69 pages)<br>
This review follows an algebraic approach, with an emphasis on the relevant mathematical structures--[[User:Sylvain.Ribault|Sylvain.Ribault]] ([[User talk:Sylvain.Ribault|talk]]) 05:22, 5 May 2015 (CEST).


[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>

Revision as of 05:22, 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.--Sylvain.Ribault (talk) 05:22, 5 May 2015 (CEST)

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.--Sylvain.Ribault (talk) 05:22, 5 May 2015 (CEST)

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--Sylvain.Ribault (talk) 05:22, 5 May 2015 (CEST).

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.