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

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.

12 pages, 6 figures. Presented at the Euroconference on New Symmetries in Statistical Mech. and Cond. Mat. Physics, Torino, July 20- August 1 1998. typos corrected

References in corpus (5)

• Dilogarithm Identities in Conformal Field Theory
• Thermodynamic Bethe Ansatz and Threefold Triangulations
• ADE functional dilogarithm identities and integrable models
• New functional dilogarithm identities and sine-Gordon Y-systems
• Dilogarithm Identities in Conformal Field Theory and Group Homology

Cited by in corpus (7)

• T-systems and Y-systems in integrable systems
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• More Arnold's N = 2 superconformal gauge theories
• Integrable aspects of the scaling q-state Potts models II: finite-size effects
• Superpotentials for M-theory on a G_2 holonomy manifold and Triality symmetry
• T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras
• A T-duality interpretation of the relationship between massive and massless magnonic TBA systems