Quantum integrability of sigma models on AII and CII symmetric spaces

TL;DR

This paper conjectures exact S-matrices for certain 2D sigma models on symmetric spaces, verifies them through TBA calculations, and determines their mass spectra and gaps, advancing understanding of quantum integrability.

Contribution

It introduces conjectured exact S-matrices for sigma models on AII and CII symmetric spaces and validates them via TBA analysis, providing new insights into their mass spectra.

Findings

Confirmed conjectured S-matrices through TBA comparison

Determined the mass spectrum of the models

Calculated the exact mass gap

Abstract

Exact massive S-matrices for two dimensional sigma models on symmetric spaces SU(2N)/Sp(N) and Sp(2P)/Sp(P)*Sp(P) are conjectured. They are checked by comparison of perturbative and non perturbative TBA calculations of free energy in a strong external field. We find the mass spectrum of the models and calculate their exact mass gap.