On the {Wess-Zumino-Witten} Models on Riemann Surfaces

Bernard, Denis

doi:10.1016/0550-3213(88)90236-2

On the {Wess-Zumino-Witten} Models on Riemann Surfaces

Denis Bernard
(
- Princeton U.
)

Feb, 1988

30 pages

Published in:

Nucl.Phys.B 309 (1988) 145-174

Published: 1988

DOI:

10.1016/0550-3213(88)90236-2

Report number:

PUPT-1087

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We give a formulation of the Wess-Zumino-Witten models on Riemann surfaces of arbitrary genus in which the Ward identities for the current algebras become complete. It requires twisting the models in a non-abelian way by Lie group elements. The Ward identities are written in terms of twisted Poincaré series for Schottky groups and the zero modes of the currents are defined by a Lie derivation acting on the twists. Furthermore, we identify the denominator of the chiral partition function and we argue that both the numerator and the denominator of the partition function satisfy a heat equation on the moduli space.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORETICAL MODEL: WESS-ZUMINO-WITTEN
FIELD THEORY: WARD IDENTITY
FIELD THEORY: PARTITION FUNCTION
CURRENT ALGEBRA
ALGEBRA: VIRASORO
ALGEBRA: KAC-MOODY
MATHEMATICAL METHODS: Riemann surface

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