Null warped AdS in higher spin gravity
arXiv:1509.08487 · doi:10.1007/JHEP12(2015)021
Abstract
We equip three-dimensional spin-3 gravity in the principal embedding with a new set of boundary conditions that we call "asymptotically null warped AdS". We find a chiral copy of the Polyakov-Bershadsky algebra as asymptotic symmetry algebra, reminiscent of the situation in topologically massive gravity with strict null warped AdS boundary conditions. We prove the invertibility of the map between zuvielbein and metric variables and construct a global gauge transformation to half of AdS spin-3 gravity in the diagonal embedding. This explains why the theory is chiral and why the Polyakov-Bershadsky algebra arises. We then introduce chemical potentials, derive the entropy, free energy, and the holographic response functions, and conclude with a discussion.
References in corpus (11)
- Gravity duals for non-relativistic CFTs
- Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
- Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
- Warped AdS_3 Black Holes
- Entanglement entropy in Galilean conformal field theories and flat holography
- Generalized Black Holes in Three-dimensional Spacetime
- The Curious Case of Null Warped Space
- Lifshitz Holography with Isotropic Scale Invariance
- All stationary axi-symmetric local solutions of topologically massive gravity
- Connection vs metric description for non-AdS solutions in higher spin theories
- Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry