Central Charge for \(AdS_2\) Quantum Gravity

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Central Charge for \(AdS_2\) Quantum Gravity

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Title: Central Charge for \(AdS_2\) Quantum Gravity
Author: Hartman, Thomas; Strominger, Andrew E.

Note: Order does not necessarily reflect citation order of authors.

Citation: Hartman, Thomas, and Andrew E. Strominger. 2009. Central charge for \(AdS_2\) quantum gravity. Journal of High Energy Physics 2009(4): 26.
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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 \(AdS_3\).
Published Version: doi:10.1088/1126-6708/2009/04/026
Other Sources: http://arxiv.org/abs/0803.3621
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156514
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