A topological invariant of RG flows in 2D integrable quantum field theories

TL;DR

This paper introduces a topological invariant for RG flows in 2D integrable quantum field theories, using thermodynamic Bethe ansatz and geometric triangulations, with proven dilogarithm identities.

Contribution

It constructs a novel topological invariant for RG trajectories in 2D integrable models and links it to geometric triangulations and dilogarithm identities.

Findings

Defined a topological invariant for RG flows in 2D integrable models

Established a geometric interpretation using 3D manifold triangulations

Proved associated dilogarithm identities

Abstract

We construct a topological invariant of the renormalization group trajectories of a large class of 2D quantum integrable models, described by the thermodynamic Bethe ansatz approach. A geometrical description of this invariant in terms of triangulations of three-dimensional manifolds is proposed and associated dilogarithm identities are proven.