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Free fermions, KdV charges, generalised Gibbs ensembles, modular transforms and line defects
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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.
Forward citations
Cited by 3 Pith papers
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Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations
Modular S-transforms of chirally deformed CFT partition functions are determined iteratively by second-order OPE poles of the deforming currents, with explicit multiplicities.
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On W-algebras and ODE/IM correspondence
The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.
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Modular Properties of $\mathcal{W}_3$ Generalised Gibbs Ensembles
A proposed asymptotic expansion for the modular S-transform of W_3 generalized Gibbs ensembles with a W_0 charge, supported by Zhu's recursion checks and exact results at c=-2.
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