Kerr/CFT, dipole theories and nonrelativistic CFTs

Abstract

We study solutions of type IIB supergravity which are SL(2,R) x SU(2) x U(1)^2 invariant deformations of AdS_3 x S^3 x K3 and take the form of products of self-dual spacelike warped AdS_3 and a deformed three-sphere. One of these backgrounds has been recently argued to be relevant for a derivation of Kerr/CFT from string theory, whereas the remaining ones are holographic duals of two-dimensional dipole theories and their S-duals. We show that each of these backgrounds is holographically dual to a deformation of the DLCQ of the D1-D5 CFT by a specific supersymmetric (1,2) operator, which we write down explicitly in terms of twist operators at the free orbifold point. The deforming operator is argued to be exactly marginal with respect to the zero-dimensional nonrelativistic conformal (or Schroedinger) group - which is simply SL(2,R)_L x U(1)_R. Moreover, in the supergravity limit of large N and strong coupling, no other single-trace operators are turned on. We thus propose that the field theory duals to the backgrounds of interest are nonrelativistic CFTs defined by adding the single Schroedinger-invariant (1,2) operator mentioned above to the original CFT action. Our analysis indicates that the rotating extremal black holes we study are best thought of as finite right-moving temperature (non-supersymmetric) states in the above-defined supersymmetric nonrelativistic CFT and hints towards a more general connection between Kerr/CFT and two-dimensional non-relativistic CFTs.

48+8 pages, 4 figures; minor corrections and references added

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Cited by in corpus (60)

• Warped Conformal Field Theory
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• New Boundary Conditions for AdS3
• Holographic entanglement entropy and gravitational anomalies
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• Warped AdS3/Dipole-CFT Duality
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• Modifications to Holographic Entanglement Entropy in Warped CFT
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• TsT, $T\bar{T}$ and black strings
• The classical origin of quantum affine algebra in squashed sigma models
• Gravity Waves from Kerr/CFT
• On correlation functions in $J\bar{T}$-deformed CFTs
• The Spectrum of Strings on Warped AdS_3 x S^3
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• 3D supergravity from wrapped M5-branes
• 3D Supergravity from wrapped D3-branes
• A note on the complex SYK model and warped CFTs
• Stringy Schroedinger truncations
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Integrability in dipole-deformed N=4 super Yang-Mills
• Locality and anomalies in warped conformal field theory
• Chiral Liouville Gravity
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Exotic symmetry and monodromy equivalence in Schrodinger sigma models
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Warped Entanglement Entropy
• Phase Transitions in Warped AdS${}_3$ Gravity
• Heating up holography for single-trace $J\bar{T}$ deformations
• Warped Black Holes in Lower-Spin Gravity
• Logarithmic corrections to black hole entropy from Kerr/CFT
• Un-twisting the NHEK with spectral flows
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• General black holes, untwisted
• SUSY properties of warped AdS${}_3$
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Structure Constants from Modularity in Warped CFT
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• A general definition of $J{T}_a$ -- deformed QFTs
• Particle Number and 3D Schroedinger Holography
• A Fefferman-Graham-like expansion for null warped AdS(3)
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Decrypting the warped black strings
• Near-Extremal Limits of Warped Black Holes
• Correlation functions for Schrödinger backgrounds
• Symmetries versus the spectrum of $J\bar{T}$-deformed CFTs
• Asymptotically spacelike warped anti-de Sitter spacetimes in generalized minimal massive gravity
• Bubbling the NHEK
• $J\bar{T}$-deformed CFTs as non-local CFTs
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Attractor horizons in six-dimensional type IIB supergravity
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• AdS_3: the NHEK generation