Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality

TL;DR

This paper demonstrates that Poisson-Lie T-duality remains consistent under 1-loop renormalization group flow by employing a generalized Ricci tensor within Courant algebroids.

Contribution

It introduces a novel approach using generalized Ricci tensors in Courant algebroids to analyze the compatibility of Poisson-Lie T-duality with renormalization.

Findings

Poisson-Lie T-duality is compatible with 1-loop renormalization.

Generalized Ricci tensor effectively captures renormalization effects.

Framework bridges geometric structures with quantum field theory.

Abstract

We use a generalized Ricci tensor, defined for generalized metrics in Courant algebroids, to show that Poisson-Lie T-duality is compatible with the 1-loop renormalization group.