Consistent Truncation to Three Dimensional (Super-)gravity

Abstract

For a general three dimensional theory of (super-)gravity coupled to arbitrary matter fields with arbitrary set of higher derivative terms in the effective action, we give an algorithm for consistently truncating the theory to a theory of pure (super-)gravity with the gravitational sector containing only Einstein-Hilbert, cosmological constant and Chern-Simons terms. We also outline the procedure for finding the parameters of the truncated theory. As an example we consider dimensional reduction on S^2 of the 5-dimensional minimal supergravity with curvature squared terms and obtain the truncated theory without any curvature squared terms. This truncated theory reproduces correctly the exact central charge of the boundary CFT.

LaTeX file, 22 pages

References in corpus (16)

• Black Hole Entropy from Near-Horizon Microstates
• Three-Dimensional Gravity Revisited
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• 5D Black Holes and Strings with Higher Derivatives
• Three-dimensional supergravity reloaded
• 5D Attractors with Higher Derivatives
• On R**2 Corrections for 5D Black Holes
• Black holes and branes in string theory
• Super Weyl Anomalies in the AdS/CFT Correspondence
• Anti-de Sitter gravity associated with the supergroup $SU(1,1|2)\times SU(1,1|2)$
• AdS_3, Black Holes and Higher Derivative Corrections

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