On renormalization of Poisson-Lie T-plural sigma models

TL;DR

This paper investigates how one-loop renormalization group equations behave under Poisson-Lie T-plurality transformations in sigma models, focusing on ambiguities arising from parameter truncations.

Contribution

It analyzes the covariance of renormalization group equations under Poisson-Lie T-plurality and explores ambiguities caused by parameter truncations in these models.

Findings

Renormalization group equations are covariant under Poisson-Lie T-plurality.

Ambiguities in equations are linked to truncated parameter matrices.

Insights into the consistency of sigma models under duality transformations.

Abstract

Covariance of the one-loop renormalization group equations with respect to Poisson-Lie T-plurality of sigma models is discussed. The role of ambiguities in renormalization group equations of Poisson-Lie sigma models with truncated matrices of parameters is investigated.