English

Consistent anomalies of the induced W gravities

High Energy Physics - Theory 2009-10-28 v1

Abstract

The BRST anomaly which may be present in the induced WnW_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 W3W_3 theory is discussed and a comparison with other candidates for the anomaly available in the literature is presented.

Keywords

Cite

@article{arxiv.hep-th/9512055,
  title  = {Consistent anomalies of the induced W gravities},
  author = {M. Abud and J. -P. Ader and L. Cappiello},
  journal= {arXiv preprint arXiv:hep-th/9512055},
  year   = {2009}
}

Comments

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