KdV-charged black holes

Abstract

We construct black hole geometries in AdS 3 with non-trivial values of KdV charges. The black holes are holographically dual to quantum KdV Generalized Gibbs Ensemble in 2d CFT. They satisfy thermodynamic identity and thus are saddle point configurations of the Euclidean gravity path integral. We discuss holographic calculation of the KdV generalized partition function and show that for a certain value of chemical potentials new geometries, not the conventional BTZ ones, are the leading saddles.

Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence

“…The natural holographic realization of the qBO 2 hierarchy is AdS 3 gravity with an extra U(1) gauge field, as described in [39], while the chiral case with only one SL(2)×U(1) current should be related to Warped CFTs (WCFT) [37,82,83], initially proposed as holographic duals of near-extremal black holes. We have seen that the qBO 2 spectrum is not straightforwardly adapted to chiral CFTs, due to its complex eigenvalues, requiring further studies in the particular case of WCFTs and its related black hole solutions, in line with recent discussions in the KdV case [38,41].…”

“…Therefore, this work sets a new route to investigate generalized ETH for charged CFTs at finite c using the AGT correspondence. Other potential applications of our results are on generalized thermalization of Warped CFTs [37] and holographic realizations of integrable hierarchies [38][39][40][41]. The quantum BO hierarchy has also been conjectured to describe non-linear dynamics of quantum liquids [29,[42][43][44][45] and we hope our results can also be relevant in this context.…”