Induced quantum gravity on a Riemann Surface

Details Induced quantum gravity on a Riemann Surface Induced quantum gravity on a Riemann Surface

2002-09-06

arxiv.org/abs/hep-th/0209055v1

Int.J.Mod.Phys. A18 (2003) 4371-4402

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 32 pages, no figures, submitted to Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X03016185

Induced quantum gravity dynamics built over a Riemann surface is studied in arbitrary dimension. Local coordinates on the target space are given by means of the Laguerre-Forsyth construction. A simple model is proposed and pertubatively quantized. In doing so, the classical W-symmetry turns out to be preserved on-shell at any order of the $\hbar$ perturbative expansion. As a main result, due to quantum corrections, the target coordinates acquire a non-trivial character.

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