Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
A note on covariant action integrals in three dimensions
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abstract
We compute -in the saddle point approximation- the partition function for the 2+1 black hole using the Gibbons-Hawking approach. Some issues concerning the definition of thermodynamical ensembles are clarified. It is pointed out that the right action in covariant form is exactly equal to the Chern-Simons action with no added boundary terms. This action is finite, yields the right canonical free energy and has an extremum when the temperature and angular velocity are fixed. The correspondence with a 1+1 $CFT$ is indicated.
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Chern-Simons AdS5 black holes with SU(2) solitons have entropy that receives nontrivial contributions from axial torsion and trace-torsion modes, confirmed by multiple methods.
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Timelike Liouville theory and AdS$_3$ gravity at finite cutoff
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
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Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons
Chern-Simons AdS5 black holes with SU(2) solitons have entropy that receives nontrivial contributions from axial torsion and trace-torsion modes, confirmed by multiple methods.