Path Integral Formulation of the Conformal Wess-Zumino-Witten to Liouville Reduction

Details Path Integral Formulation of the Conformal Wess-Zumino-Witten to Liouville Reduction Path Integral Formulation of the Conformal Wess-Zumino-Witten to Liouville Reduction

1998-02-11

arxiv.org/abs/hep-th/9802077v1

Phys.Lett. B425 (1998) 291-299

Physics

High Energy Physics

High Energy Physics - Theory

Plain TeX file, 15 pages

Scientific paper

10.1016/S0370-2693(98)00157-9

The quantum Wess-Zumino-Witten $\to$ Liouville reduction is formulated using the phase space path integral method of Batalin, Fradkin, and Vilkovisky, adapted to theories on compact two dimensional manifolds. The importance of the zero modes of the Lagrange multipliers in producing the Liouville potential and the WZW anomaly, and in proving gauge invariance, is emphasised. A previous problem concerning the gauge dependence of the Virasoro centre is solved.

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