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KdV-charged black holes
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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.
Forward citations
Cited by 2 Pith papers
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.
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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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