AdS${}_3$ Holography at Dimension Two

Abstract

Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a correspondence is particularly valuable in black hole physics. We study supersymmetric D1-D5-P black holes, for which recently constructed microstate solutions known as "superstrata" provide strong motivation to derive the explicit D1-D5 holographic dictionary for CFT operators of total dimension two. In this work we derive the explicit map between one-point functions of scalar chiral primaries of dimension (1,1) and the asymptotic expansions of families of asymptotically AdS${}_3\times$S${}^3\times$M supergravity solutions, with M either T${}^4$ or K3. We include all possible mixings between single-trace and multi-trace operators. We perform several tests of the holographic map, including new precision holographic tests of superstrata, that provide strong supporting evidence for the proposed dual CFT states.

arXiv comment44 pages, v2: minor edits and typo fixes

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• Holomorphic Waves of Black Hole Microstructure
• Thermal Decay without Information Loss in Horizonless Microstate Geometries
• Superstrata
• Little Strings, Long Strings, and Fuzzballs
• Stringy Structure at the BPS Bound
• Supercharged AdS${}_3$ Holography
• Non-BPS Floating Branes and Bubbling Geometries
• Black hole microstates from the worldsheet
• On the BPS sector in AdS_3/CFT_2 Holography
• Worldsheet Correlators in Black Hole Microstates
• AdS${}_3$ holography for non-BPS geometries
• Worldsheet computation of heavy-light correlators
• Resolving Black-Hole Microstructure with New Momentum Carriers
• Shockwaves in black hole microstate geometries
• The (amazing) Super-Maze
• Solitonic Excitations in AdS2
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials
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• The Dual of a Tidal Force in the D1D5 CFT
• D-branes and Orbit Average
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Interpolating between multi-center microstate geometries
• Superstrata on Orbifolded Backgrounds
• Precision holography of AdS${}_5$ bubbling geometries
• Evolutionary algorithms for multi-center solutions
• Real-Time Holography and Hybrid WKB for BTZ Wormholes
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries