Renormalization group flows in σ-models coupled to two-dimensional dynamical gravity Original Research Article

We consider a bosonic σ-model coupled to two-dimensional gravity. In the semiclassical limit, c → −∞, we compute the gravity dressing of the β-functions at two-loop order in the matter matter fields. We find that the corrections due to the presence of dynamical gravity are 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 non-trivially influenced and modified by the induced gravity.