Charged Quantum Fields in AdS${}_2$

Abstract

We consider quantum field theory near the horizon of an extreme Kerr black hole. In this limit, the dynamics is well approximated by a tower of electrically charged fields propagating in an $SL(2,\mathbb{R})$ invariant AdS${}_2$ geometry endowed with a constant, symmetry preserving background electric field. At large charge the fields oscillate near the AdS${}_2$ boundary and no longer admit a standard Dirichlet treatment. From the Kerr black hole perspective, this phenomenon is related to the presence of an ergosphere. We discuss a definition for the quantum field theory whereby we 'UV' complete AdS${}_2$ by appending an asymptotically two dimensional Minkowski region. This allows the construction of a novel observable for the flux-carrying modes that resembles the standard flat space S-matrix. We relate various features displayed by the highly charged particles to the principal series representations of $SL(2,\mathbb{R})$. These representations are unitary and also appear for massive quantum fields in dS${}_2$. Both fermionic and bosonic fields are studied. We find that the free charged massless fermion is exactly solvable for general background, providing an interesting arena for the problem at hand.

arXiv comment31 pages, one figure

References in corpus (44)

• Comments on the Sachdev-Ye-Kitaev model
• The Kerr/CFT Correspondence
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Bekenstein-Hawking Entropy and Strange Metals
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Warped AdS_3 Black Holes
• Black Hole Superradiance From Kerr/CFT
• Bi-Local Holography in the SYK Model
• Warped Conformal Field Theory
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Boundary Conformal Field Theory and a Boundary Central Charge
• Analytic Bounds and Emergence of ${\text{AdS}}_2$ Physics from the Conformal Bootstrap
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• Warped Conformal Field Theory as Lower Spin Gravity
• Static Patch Solipsism: Conformal Symmetry of the de Sitter Worldline
• Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
• The Analytic Functional Bootstrap I: 1D CFTs and 2D S-Matrices
• The Analytic Functional Bootstrap II: Natural Bases for the Crossing Equation
• Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Central Charge for AdS_2 Quantum Gravity
• Holographic Complexity Equals Which Action?
• AdS${}_2$ Holographic Dictionary
• Schwinger pair production in AdS2
• Entanglement Entropy in Warped Conformal Field Theories
• Disordered Quivers and Cold Horizons
• Holographic non-Fermi liquid fixed points
• De Sitter Horizons & Holographic Liquids
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• Microscopic Theory of Black Hole Superradiance
• Schwinger Pair Production in dS_2 and AdS_2
• Kermions: quantization of fermions on Kerr space-time
• Holography at an Extremal De Sitter Horizon
• The Spectrum of Strings on Warped AdS_3 x S^3
• Warped Weyl fermion partition functions
• Hopfing and Puffing Warped Anti-de Sitter Space
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
• A de Sitter Hoedown
• Warped Entanglement Entropy
• Marginal Deformations and Rotating Horizons
• Topological surprises in de Sitter QFT in two-dimensions
• de Sitter Harmonies: Cosmological Spacetimes as Resonances

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• Notes on the complex Sachdev-Ye-Kitaev model
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• The central dogma and cosmological horizons
• Moduli Space Holography and the Finiteness of Flux Vacua
• Constructing AdS_2 flow geometries
• An invitation to the principal series
• Unitarity at the Late time Boundary of de Sitter
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Non-modal effects in black hole perturbation theory: Transient Superradiance
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Principal and complementary series representations at the late-time boundary of de Sitter
• The quantum $p$-spin glass model: A user manual for holographers