Spinning Particle Geometries in AdS${}_3$/CFT${}_2$

Abstract

We study spinning particle/defect geometries in the context of AdS${}_3$/CFT${}_2$. These solutions lie below the BTZ threshold, and can be obtained from identifications of AdS${}_3$. We construct the Feynman propagator by solving the bulk equation of motion in the spinning particle geometry, summing over the modes of the fields and passing to the boundary. The quantization of the scalar fields becomes challenging when confined to the regions that are causally well-behaved. If the region containing closed timelike curves (CTCs) is included, the normalization of the scalar fields enjoys an analytical simplification and the propagator can be expressed as an infinite sum over image geodesics. In the dual CFT${}_2$, the propagator can be recast as the HHLL four-point function, where by taking into account the $PSL(2,\mathbb{Z})$ modular images, we recover the bulk computation. We comment on the casual behavior of bulk geometries associated with single-trace operators of spin scaling with the central charge below the BTZ threshold.

24 pages, 1 figure; comments welcome! v2: 26 pages, 2 figures, improved various discussions, added references, corrected minor typos v3: clarifications regarding boundary conditions added. v4: corrected minor typos

References in corpus (56)

• Gauge Theory Correlators from Non-Critical String Theory
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Eternal Black Holes in AdS
• Black holes and the butterfly effect
• Generalized gravitational entropy
• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• Writing CFT correlation functions as AdS scattering amplitudes
• The (2+1)-Dimensional Black Hole
• Quantum Gravity Partition Functions in Three Dimensions
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Real-time gauge/gravity duality
• Holographic Particle Detection
• Correlation functions for M^N/S_N orbifolds
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks
• Six-dimensional Methods for Four-dimensional Conformal Field Theories
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Bulk and Boundary Dynamics in BTZ Black Holes
• Poincare Series, 3D Gravity and CFT Spectroscopy
• Flat-space scattering and bulk locality in the AdS/CFT correspondence
• Black Hole Collapse in the 1/c Expansion
• Black Hole Creation in 2+1 Dimensions
• Leading order corrections to the quantum extremal surface prescription
• Flat space physics from AdS/CFT
• Proper time to the black hole singularity from thermal one-point functions
• The flat space S-matrix from the AdS/CFT correspondence?
• Probing phase transitions of holographic entanglement entropy with fixed area states
• On the negative spectrum of the 2+1 black hole
• Enhanced corrections near holographic entanglement transitions: a chaotic case study
• A conformal block Farey tail
• Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
• Rademacher Expansions and the Spectrum of 2d CFT
• Conformal perturbation theory, dimensional regularization and AdS/CFT
• Entanglement entropy in three dimensional gravity
• The Anti-de Sitter Gott Universe: A Rotating BTZ Wormhole
• Gravity in 2+1 dimensions as a Riemann-Hilbert problem
• Quantum dress for a naked singularity
• Supergeometry of Three Dimensional Black Holes
• Complex Entangling Surfaces for AdS and Lifshitz Black Holes?
• Aspects of thermal one-point functions and response functions in AdS Black holes
• Black hole formation from point-like particles in three-dimensional anti-de Sitter space
• Localized states in global AdS
• Geodesic Structure of Naked Singularities in AdS${}_3$ Spacetime
• Overspinning naked singularities in AdS${}_3$ spacetime
• Quantum backreaction for overspinning BTZ geometries
• A note on the admissibility of complex BTZ metrics
• Aspects of Holography in Conical $Ad{S}_3$
• Gravitating spinning strings in AdS${}_3$
• Collisions of massive particles, timelike thin shells and formation of black holes in three dimensions
• Operator growth and black hole formation
• Operator product expansions and recoil