Consistent anomalies of the induced W gravities

Details Consistent anomalies of the induced W gravities Consistent anomalies of the induced W gravities

1995-12-09

arxiv.org/abs/hep-th/9512055v1

Phys.Lett. B369 (1996) 108-116

Physics

High Energy Physics

High Energy Physics - Theory

Latex, no figures, 12 pages (To appear on Physics Letters B.)

Scientific paper

10.1016/0370-2693(95)01520-5

The BRST anomaly which may be present in the induced $W_n$ gravity quantized on the light-cone is evaluated in the geometrical framework of Zucchini. The cocycles linked by the cohomology of the BRST operator to the anomaly are straightforwardly calculated thanks to the analogy between this formulation and the Yang-Mills theory. We give also a conformally covariant formulation of these quantities including the anomaly, which is valid on arbitrary Riemann surfaces. The example of the $W_3$ theory is discussed and a comparison with other candidates for the anomaly available in the literature is presented.

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