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Modular Properties of Generalised Gibbs Ensembles

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arxiv 2410.06288 v2 pith:FLL2BLPW submitted 2024-10-08 hep-th cond-mat.stat-mechmath-phmath.MP

Modular Properties of Generalised Gibbs Ensembles

Max Downing , Faisal Karimi This is my paper
classification hep-th cond-mat.stat-mechmath-phmath.MP
keywords chargesasymptoticexpressionmodulartransformedensemblesfindfirst
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the modular properties of Generalised Gibbs Ensembles (GGEs) in two dimensional conformal field theories. These are obtained by inserting higher spin charges in the expressions for the partition function of the theory. We investigate the particular case where KdV charges are inserted in the GGE. We first determine an asymptotic expression for the transformed GGE. This expression is an expansion in terms of the zero modes of all the quasi-primary fields in the theory, not just the KdV charges. While these charges are non-commuting they can be re-exponentiated to give an asymptotic expression for the transformed GGE in terms of another GGE. As an explicit example we focus on the Lee-Yang model. We use the Thermodynamic Bethe Ansatz in the Lee-Yang model to first replicate the asymptotic results, and then find additional energies that need to be included in the transformed GGE in order to find the exact modular transformation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations

    hep-th 2026-03 accept novelty 7.0

    Modular S-transforms of chirally deformed CFT partition functions are determined iteratively by second-order OPE poles of the deforming currents, with explicit multiplicities.

  2. Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble

    hep-th 2026-03 unverdicted novelty 7.0

    Exact modular S-transforms are derived for GGEs in the symplectic fermion theory, agreeing with conjectures for the W3 zero mode and mirroring free-fermion results for the KdV subset.