Off-Critical Lattice Analogues of $N=2$ Supersymmetric Quantum Integrable Models

TL;DR

This paper develops off-critical lattice models with elliptic weights that correspond to massive N=2 supersymmetric quantum integrable theories, analyzing their free energies and connections to topological models.

Contribution

It introduces off-critical elliptic Boltzmann weights for lattice models linked to massive N=2 supersymmetric theories, extending the understanding of their continuum limits and lattice realizations.

Findings

Free energies are analytic where supersymmetry remains unbroken.

Established a connection between these lattice models and topological lattice models.

Provided explicit examples and corner transfer matrix computations.

Abstract

We obtain off-critical (elliptic) Boltzmann weights for lattice models whose continuum limits correspond to massive, $N=2$ supersymmetric, quantum integrable field theories. We also compute the free energies of these models and show that they are analytic in the region of parameter space where we believe that the supersymmetry is unbroken. While the supersymmetry is not directly realized on the lattice, there is still a very close connection between the models described here and topological lattice models. A simple example is discussed in detail and some corner transfer matrix computations are also presented.