Quantum equivalence in Poisson-Lie T-duality

TL;DR

This paper demonstrates that Poisson-Lie T-dual sigma models are quantum equivalent at one-loop level, analyzing their renormalization group flows, properties, and specific examples.

Contribution

It establishes quantum equivalence of Poisson-Lie T-dual models under one-loop RG flow and explores their properties and examples.

Findings

Poisson-Lie T-dual models are quantum equivalent at one-loop.

General properties of the RG flows are characterized.

Explicit examples illustrating the theory are provided.

Abstract

We prove that, general $\s$-models related by Poisson-Lie T-duality are quantum equivalent under one-loop renormalization group flow. We reveal general properties of the flows, we study the associated generalized coset models and provide explicit examples.