Renormalization Group Flows in Sigma--Models Coupled to Two--Dimensional Dynamical Gravity

Abstract

We consider a bosonic $\s$--model coupled to two--dimensional gravity. In the semiclassical limit, $c\to -\infty$, we compute the gravity dressing of the $\b$--functions at two--loop order in the matter fields. We find that the corrections due to the presence of dynamical gravity are {\em not} expressible simply in terms of a multiplicative factor as previously obtained at the one--loop level. Our result indicates that the critical points of the theory are nontrivially influenced and modified by the induced gravity.

Latex file, 18 pages plus 7 figures

References in corpus (8)

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Cited by in corpus (4)

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• Supersymmetric Galilean Electrodynamics
• Gravitational Dressing of N=2 Sigma-Models Beyond Leading Order