Free fermions, KdV charges, generalised Gibbs ensembles, modular transforms and line defects
High Energy Physics - Theory
2023-11-09 v1
Abstract
In this paper we return to the question of the modular properties of a generalised Gibbs ensemble of a single free fermion. We extend our previous proposals to a GGE containing an arbitrary number of conserved charges and provide a physical interpretation of the result in terms of a line defect. The defect description perfectly explains the product formula for the modular transformation we found previously. We also give a proposal for a Hamiltonian approach to the line defect.
Keywords
Cite
@article{arxiv.2311.04564,
title = {Free fermions, KdV charges, generalised Gibbs ensembles, modular transforms and line defects},
author = {Max Downing and Gerard Watts},
journal= {arXiv preprint arXiv:2311.04564},
year = {2023}
}