2D Gravity on $Ad{S}_2$ with Chern-Simons Corrections

Abstract

We study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $Ad{S}_2$ 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 $Ad{S}_3$ or warped $Ad{S}_3$ with an identification.

15 pages; V2: refs added

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Cited by in corpus (12)

• Chiral Gravity, Log Gravity and Extremal CFT
• AdS${}_2$ Holographic Dictionary
• CFT Duals for Attractor Horizons
• Complexity and Behind the Horizon Cut Off
• Asymptotic symmetry of geometries with Schrodinger isometry
• Central Charges in 2d Reduced Cosmological Massive Gravity
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• Topologically massive gravity on AdS${}_2$ spacetimes
• On three dimensional bigravity
• Entropy function approach to charged BTZ black hole
• Critical gravity on AdS2 spacetimes
• Nonpropagation of massive mode on AdS2 in topologically massive gravity