Supersymmetric Warped AdS in Extended Topologically Massive Supergravity

Abstract

We determine the most general form of off-shell N=(1,1) supergravity field configurations in three dimensions by requiring that at least one off-shell Killing spinor exists. We then impose the field equations of the topologically massive off-shell supergravity and find a class of solutions whose properties crucially depend on the norm of the auxiliary vector field. These are spacelike-squashed and timelike-stretched AdS_3 for the spacelike and timelike norms, respectively. At the transition point where the norm vanishes, the solution is null warped AdS_3. This occurs when the coefficient of the Lorentz-Chern-Simons term is related to the AdS radius by $\mu \ell =2$. We find that the spacelike-squashed AdS_3 can be modded out by a suitable discrete subgroup of the isometry group, yielding an extremal black hole solution which avoid closed timelike curves.

21 pages, references added, published version

References in corpus (10)

• Warped AdS_3 Black Holes
• Three-dimensional Chern-Simons black holes
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Stability of warped AdS3 vacua of topologically massive gravity
• 3D supergravity from wrapped M5-branes
• More on Massive 3D Supergravity
• Supersymmetric Gödel and warped black holes in string theory
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• N=2 supergravity in three dimensions and its Godel supersymmetric background

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• Massive N=2 Supergravity in Three Dimensions
• Topologically massive higher spin gauge theories
• SUSY properties of warped AdS${}_3$
• Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity
• Rigid Supersymmetric Backgrounds of 3-dimensional Newton-Cartan Supergravity
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Supersymmetric Backgrounds and Black Holes in $\mathcal{N}=(1,1)$ Cosmological New Massive Supergravity
• Minimal $\mathcal{N}=4$ topologically massive supergravity
• Critical N=(1,1) General Massive Supergravity
• Critical points of WAdS/CFT and higher-curvature gravity
• Warped anti-de Sitter in 3d (2,0) Supergravity
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
• Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension