Irrational conformal field theory

Halpern, M.B.; Kiritsis, E.; Obers, N.A.; Clubok, K.

doi:10.1016/0370-1573(95)00017-8

Irrational conformal field theory

M.B. Halpern
(
- UC, Berkeley and
- LBL, Berkeley
)
,
E. Kiritsis
(
- CERN
)
,
N.A. Obers
(
- Ecole Polytechnique
)
,
K. Clubok
(
- UC, Berkeley and
- LBL, Berkeley
)

Jan, 1995

189 pages

Published in:

Phys.Rept. 265 (1996) 1-138

e-Print:

hep-th/9501144 [hep-th]

DOI:

10.1016/0370-1573(95)00017-8

Report number:

UCB-PTH-95-02,
LBL-36686,
CERN-TH-95-02,
CERN-TH-95-002,
CERN-TH-95-2,
CPTH-A342-0195

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Abstract: (DESY)

This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and the dynamics of irrational conformal field theory. Discussion of the dynamics includes the generalized Knizhnik-Zamolodchikov equations on the sphere, the corresponding heat-like systems on the torus and the generic world- sheet action of irrational conformal field theory.

Note:

195 pages, Latex, 12 figures, to appear in Physics Reports Report-no: UCB-PTH-95/02, LBL-36686, CERN-TH.95/2, CPTH-A342.0195

review
field theory: conformal
master equation: Virasoro
Knizhnik-Zamolodchikov equation
algebra: affine
supersymmetry
approximation: semiclassical
Ward identity
coset space
correlation function

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