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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Modular Properties of W3 Generalised Gibbs Ensembles

  • Max Downing
  • Faisal Karimi
  • Tanmoy Sengupta
  • Adarsh Sudhakar
  • Gérard M. T. Watts
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Abstract

In this paper we make a proposal for the solution to a long-standing problem - the asymptotic expansions of the modular S-transform of a generalised Gibbs ensemble (GGE) in a theory with W3 symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular S-transform of traces of arbitrary powers of the zero mode W0. We provide evidence in the form of exact results using Zhu's recursion, results obtained using conjectured results for Verma modules, and exact results for the particular value c=−2. We expect these have generalisations to other symmetry algebras/hierarchies such as the Virasoro algebra/KdV charges, and to GGEs with arbitrary finite sets of charges.

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Cite

BibTeXRIS
BibTeX
@article{downing2026modular,
  title = {{Modular Properties of W3 Generalised Gibbs Ensembles}},
  author = {Max Downing and Faisal Karimi and Tanmoy Sengupta and Adarsh Sudhakar and Gérard M. T. Watts},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = jun,
  doi = {10.1007/jhep06(2026)114},
  eprint = {2508.16258},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05250586v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Modular Properties of W3 Generalised Gibbs Ensembles
AU  - Max Downing
AU  - Faisal Karimi
AU  - Tanmoy Sengupta
AU  - Adarsh Sudhakar
AU  - Gérard M. T. Watts
PY  - 2026
DA  - 2026/06/10
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep06(2026)114
UR  - https://hal.science/hal-05250586v1
AB  - In this paper we make a proposal for the solution to a long-standing problem - the asymptotic expansions of the modular S-transform of a generalised Gibbs ensemble (GGE) in a theory with W3 symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular S-transform of traces of arbitrary powers of the zero mode W0. We provide evidence in the form of exact results using Zhu's recursion, results obtained using conjectured results for Verma modules, and exact results for the particular value c=−2. We expect these have generalisations to other symmetry algebras/hierarchies such as the Virasoro algebra/KdV charges, and to GGEs with arbitrary finite sets of charges.
SN  - 1126-6708
SN  - 1029-8479
ER  -