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Induced quantum gravity on a Riemann Surface

G. Bandelloni·S. Lazzarini
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Abstract

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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G. Bandelloni, S. Lazzarini. 2002-09-06. Induced quantum gravity on a Riemann Surface. https://doi.org/10.1142/s0217751x03016185

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