Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence

• DOI: 10.1007/jhep05(2021)276
• Publication Date: 2021-05-31T13:03:07Z
• Authors: Fábio Novaes
• Keywords: Central charge; Hamiltonian (control theory); Semiclassical physics; Thermalisation

The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set conserved charges. In this work, we analyze GGE partition function 2D Conformal Field Theories (CFTs) a U(1) charge and Benjamin-Ono$_{2}$ (qBO$_{2}$) hierarchy We use Alday-Gaiotto-Tachikawa (AGT) correspondence express thermal trace in terms Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis descendants, which diagonalizes all thermodynamic semiclassical limit, including first order correction. find that equality between averages primary eigenvalues qBO$_{2}$ charges attainable strict large $c$ limit potentially violated at subleading $1/c$ order. also obtain finite when only non-trivial turned on, expressed partial theta functions. Our results should be eigenstate hypothesis for charged CFTs, Warped CFTs effective field theory descriptions condensed matter systems.