# Fock representations and BRST cohomology inSL(2) current algebra

@article{Bernard1990FockRA,
title={Fock representations and BRST cohomology inSL(2) current algebra},
author={D. Bernard and G. Felder},
journal={Communications in Mathematical Physics},
year={1990},
volume={127},
pages={145-168}
}
• Published 1990
• Mathematics
• Communications in Mathematical Physics
We investigate the structure of the Fock modules overA1(1) introduced by Wakimoto. We show that irreducible highest weight modules arise as degree zero cohomology groups in a BRST-like complex of Fock modules. Chiral primary fields are constructed as BRST invariant operators acting on Fock modules. As a result, we obtain a free field representation of correlation functions of theSU(2) WZW model on the plane and on the torus. We also consider representations of fractional level arising in… Expand
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