Modular Covariance of Minimal Model Correlation Functions

Felder, Giovanni; Silvotti, R.

doi:10.1007/BF01244015

Modular Covariance of Minimal Model Correlation Functions

1989

15 pages

Published in:

Commun.Math.Phys. 123 (1989) 1-15

DOI:

10.1007/BF01244015

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Abstract: (Springer)

We prove that one-point functions of all scaling fields in minimal left-right diagonal models of conformal field theory are modular covariant. This consistency condition should allow one to extend these minimal models to Riemann surfaces of arbitrary genus.

FIELD THEORY: CONFORMAL
FIELD THEORY: CENTRAL CHARGE
ALGEBRA: VIRASORO
ALGEBRA: REPRESENTATION
OPERATOR: VERTEX
OPERATOR: BECCHI-ROUET-STORA
EFFECT: SCREENING
SPACE-TIME: TORUS
TENSOR: ENERGY-MOMENTUM
INVARIANCE: REPARAMETRIZATION

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