Generalized Eigenstate Thermalization Hypothesis in 2D Conformal Field Theories

Anatoly Dymarsky, Kirill Pavlenko

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2D conformal field theories (CFTs) by giving rise to an infinite tower of local conserved quantum Korteweg-de Vries (qKdV) charges in involution. We discuss how the presence of conserved charges constrains equilibration in 2D CFTs. We propose that in the thermodynamic limit large central charge 2D CFTs satisfy generalized eigenstate thermalization, with the values of qKdV charges forming a complete set of thermodynamically relevant quantities, which unambiguously determine expectation values of all local observables from the vacuum family. Equivalence of ensembles further provides that local properties of an eigenstate can be described by the generalized Gibbs ensemble that includes only qKdV charges. In the case of a general initial state, upon equilibration, the emerging generalized Gibbs ensemble will necessarily include negative chemical potentials and holographically will be described by a quasiclassical black hole with quantum soft hair.

Original languageEnglish
Pages (from-to)111602
Number of pages1
JournalPhysical Review Letters
Issue number11
StatePublished - Sep 13 2019

ASJC Scopus subject areas

  • General Physics and Astronomy


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