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

Journal of High Energy Physics

Fábio Novaes¹ 

[1] Centro de Estudios Científicos, Valdivia, Chile;

关键词: Conformal Field Theory;    Integrable Hierarchies;    Conformal and W Symmetry;   

DOI  :  10.1007/JHEP05(2021)276

来源: Springer

【 摘 要 】

The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono2 (qBO2) hierarchy charges. We use the Alday-Gaiotto-Tachikawa (AGT) correspondence to express the thermal trace in terms of the Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis of descendants, which diagonalizes all charges. We analyze the GGE partition function in the thermodynamic semiclassical limit, including the first order quantum correction. We find that the equality between GGE averages and primary eigenvalues of the qBO2 charges is attainable in the strict large c limit and potentially violated at the subleading 1/c order. We also obtain the finite c partition function when only the first non-trivial charge is turned on, expressed in terms of partial theta functions. Our results should be relevant to the eigenstate thermalization hypothesis for charged CFTs, Warped CFTs and effective field theory descriptions of condensed matter systems.

【 授权许可】

CC BY