Thermodynamics of integrable N=2 theories, squared

TL;DR

This paper investigates the thermodynamic properties of a newly constructed supersymmetric integrable quantum field theory derived from superstring models, analyzing its finite-volume, finite-temperature behavior, and computing key physical quantities.

Contribution

It introduces the thermodynamic analysis of a novel N=2 supersymmetric integrable QFT, including Bethe ansatz formulation and Y-system simplification, extending previous models with enhanced supersymmetry.

Findings

Formulated the string hypothesis for the Bethe--Yang equations.

Derived the thermodynamic Bethe ansatz and Y-system.

Computed the UV central charge for three particle sectors.

Abstract

In arXiv:2306.17553 a new supersymmetric integrable QFT was constructed from the relativistic limit of the worlsdheet theory of AdS$_3 \times$ S$^3\times $T$^4$ superstrings with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The model is closely reminiscent of one previously considered by Fendley and Intriligator, though it enjoys twice as many supersymmetries. In this paper we study its finite-volume and finite-temperature properties. We formulate the string hypothesis for the Bethe--Yang equations, write down the thermodynamic Bethe ansatz equations, and simplify them in the form of a Y-system. We obtain three decoupled sectors associated with massive, massless-chiral and massless-antichiral particles, for which we compute the UV central charge. We illustrate the similarities and differences between this model and the one of Fendley and Intriligator.