INDUCED QUANTUM GRAVITY ON A RIEMANN SURFACE

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 perturbatively quantized. In doing so, the classical [Formula: see text]-symmetry turns out to be preserved on-shell at any order of the ℏ perturbative expansion. As a main result, due to quantum corrections, the target coordinates acquire a nontrivial character.