Modular properties of $$ {\mathcal{W}}_3 $$ generalised Gibbs ensembles
Abstract
A bstract 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 $$ {\mathcal{W}}_3 $$ W 3 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 W 0 . 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.
Fields of Study & Subjects
Theoretical and Computational Physics
Statistical Mechanics and Entropy
Complex Systems and Time Series Analysis
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 6
- Publication date
- 10 June 2026
- Language
- EN