Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models
Abstract
We prove the stability of the torus, and with suitable rescaling, hyperbolic space under the (two-loop) renormalization group flow for the nonlinear sigma model. To prove stability we use similar techniques to GIK02, where the stability of the torus under Ricci flow was first established. The main technical tool is maximal regularity theory.
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