Path integral formulation of the conformal Wess-Zumino-Witten → Toda reductions

The phase space path integral Wess-Zumino-Witten → Toda reductions are formulated in a manifestly conformally invariant way. For this purpose, the method of Batalin, Fradkin, and Vilkovisky, adapted to conformal field theories, with chiral constraints, on compact two-dimensional Riemannian manifolds...

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Bibliographic Details
Published in:Nuclear physics. B 1998-10, Vol.529 (3), p.547-566
Main Authors: O'Raifeartaigh, L., Sreedhar, V.V.
Format: Article
Language:English
Subjects:
Anomaly
Toda models
WZW
Zero-modes
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Summary:The phase space path integral Wess-Zumino-Witten → Toda reductions are formulated in a manifestly conformally invariant way. For this purpose, the method of Batalin, Fradkin, and Vilkovisky, adapted to conformal field theories, with chiral constraints, on compact two-dimensional Riemannian manifolds, is used. It is shown that the zero-modes of the Lagrange multipliers produce the Toda potential and the gradients produce the WZW anomaly. This anomaly is crucial for proving the Fradkin-Vilkovisky theorem concerning gauge invariance.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(98)00479-9