Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-02
JHEP 0901:069,2009
Physics
High Energy Physics
High Energy Physics - Theory
15 pages; V2: refs added
Scientific paper
10.1088/1126-6708/2009/01/069
We study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $AdS_2$ vacuum solutions. By making use of the entropy function formalism we find the entropy of the solutions which is corrected due to the presence of the Chern-Simons term. We observe that the form of the correction depends not only on the coefficient of the Chern-Simons term, but also on the sign of the electric charge; pointing toward the chiral nature of the dual CFT. Using the asymptotic symmetry of the theory as well as requiring a consistent picture we can find the central charge and the level of U(1) current. Upon uplifting the solutions to three dimensions we get purely geometric solutions which will be either $AdS_3$ or warped $AdS_3$ with an identification.
Alishahiha Mohsen
Fareghbal Reza
Mosaffa Amir Esmaeil
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