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<p>In arXiv:2306.17553 a new supersymmetric integrable QFT was constructed from the relativistic limit of the worldsheet theory of AdS<sub>3</sub>× S<sup>3</sup>×T<sup>4</sup> 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.</p>

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Thermodynamics of integrable \( \mathcal{N} \) = 2 theories, squared

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  • 发表日期：

    2025年9月1日

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  • Xavier Kervyn,
  • Davide Polvara,
  • Alessandro Sfondrini

摘要

In arXiv:2306.17553 a new supersymmetric integrable QFT was constructed from the relativistic limit of the worldsheet theory of AdS3× S3×T4 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.