The Effective Action of $W_3$ Gravity to All Orders
High Energy Physics - Theory
2009-10-22 v1
Abstract
The effective action for chiral gravity is studied. It is shown that the computation of the effective action can be reduced to that of a Wess-Zumino-Witten theory. If one assumes that the effective action for the Wess-Zumino-Witten model is identical to the WZW action up to multiplicative renormalizations, then the effective action for gravity is, to all orders, given by a constrained WZW model. The multiplicative renormalization constants of the WZW model are discussed and it is analyzed which particular values of these constants are consistent with previous one-loop calculations, and which reproduce the KPZ formulas for gravity and their generalizations for gravity.
Keywords
Cite
@article{arxiv.hep-th/9211107,
title = {The Effective Action of $W_3$ Gravity to All Orders},
author = {Jan de Boer and Jacob Goeree},
journal= {arXiv preprint arXiv:hep-th/9211107},
year = {2009}
}
Comments
22 pages, THU-92/33