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Central Charge for AdS_2 Quantum Gravity
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abstract
Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius $\ell$ and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain U(1) gauge transformation. The resulting conformal transformations are generated by a twisted stress tensor, which has a central charge $c={3k E^2 \ell^4/4}$ where k is the level of the U(1) current. This is an AdS_2 analog of the Brown-Henneaux formula $c = 3\ell/2G$ for the central charge of quantum gravity on AdS_3.
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Cited by 1 Pith paper
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Timelike entanglement and central charge for quantum BTZ black holes
The paper numerically computes timelike entanglement entropy for quantum BTZ black holes and claims that the effective central charge drops sharply as quantum backreaction crosses a critical value.
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