Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-25
JHEP 0904:026,2009
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1088/1126-6708/2009/04/026
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.
Hartman Thomas
Strominger Andrew
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