Supercharged AdS${}_3$ Holography

Abstract

Given an asymptotically Anti-de Sitter supergravity solution, one can obtain a microscopic interpretation by identifying the corresponding state in the holographically dual conformal field theory. This is of particular importance for heavy pure states that are candidate black hole microstates. Expectation values of light operators in such heavy CFT states are encoded in the asymptotic expansion of the dual bulk configuration. In the D1-D5 system, large families of heavy pure CFT states have been proposed to be holographically dual to smooth horizonless supergravity solutions. We derive the precision holographic dictionary in a new sector of light operators that are superdescendants of scalar chiral primaries of dimension (1,1). These operators involve the action of the supercharges of the chiral algebra, and they play a central role in the proposed holographic description of recently-constructed supergravity solutions known as "supercharged superstrata". We resolve the mixing of single-trace and multi-trace operators in the CFT to identify the combinations that are dual to single-particle states in the bulk. We identify the corresponding gauge-invariant combinations of supergravity fields. We use this expanded dictionary to probe the proposed holographic description of supercharged superstrata, finding precise agreement between gravity and CFT.

50 pages, v3: typos fixed

References in corpus (16)

• The fuzzball proposal for black holes
• Gravity solutions for the D1-D5 system with angular momentum
• Habemus Superstratum! A constructive proof of the existence of superstrata
• Fuzzballs with internal excitations
• A non-renormalization theorem for chiral primary 3-point functions
• Kaluza-Klein Holography
• D1-D5-P microstates at the cap
• Holographic Non-Gaussianity
• Matching of correlators in AdS_3/CFT_2
• Generating Charge from Diffeomorphisms
• The supergravity fields for a D-brane with a travelling wave from string amplitudes
• AdS${}_3$ four-point functions from $\frac{1}{8}$-BPS states
• Using the D1D5 CFT to Understand Black Holes
• The Regge limit of AdS${}_3$ holographic correlators with heavy states: towards the black hole regime
• D-branes and Orbit Average
• Interpolating between multi-center microstate geometries

Cited by in corpus (19)

• On the BPS sector in AdS_3/CFT_2 Holography
• New Superstrata from Three-Dimensional Supergravity
• Worldsheet Correlators in Black Hole Microstates
• AdS${}_3$ holography for non-BPS geometries
• Worldsheet computation of heavy-light correlators
• Bootstrapping Quantum Extremal Surfaces I: The Area Operator
• Toroidal Tidal Effects in Microstate Geometries
• Resolving Black-Hole Microstructure with New Momentum Carriers
• Solitonic Excitations in AdS2
• Shockwaves in black hole microstate geometries
• The (amazing) Super-Maze
• Revisiting Extremal Couplings in AdS/CFT
• The Dual of a Tidal Force in the D1D5 CFT
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Superstrata on Orbifolded Backgrounds
• Gravitational Atoms from Topological Stars
• Precision holography of AdS${}_5$ bubbling geometries
• Evolutionary algorithms for multi-center solutions
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries