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.
Highlights
Black holes are some of the most interesting objects in our universe
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 are primarily interested in pure CFT states that are ‘heavy’ in the sense that their conformal dimension is proportional to the central charge of the CFT
Summary
Black holes are some of the most interesting objects in our universe. Despite many theoretical advances, we lack a detailed understanding of their internal structure at the quantum level, in particular the resolution of their singularities. A set of chiral primary operators (and affine descendants) of dimension (1,1) was considered, and the mixing between single-trace operators and multi-trace operators was resolved This enabled precision holographic tests of the first families of superstrata constructed in [17,18,19,20] and their proposed dual CFT states. We determine the normalization coefficients of the holographic dictionary by taking a set of test CFT states and proposed dual supergravity superstrata solutions For consistency these normalization coefficients must depend at most on charges and moduli of the theory, and not on any property of the microstates chosen for this calibration computation, and this is the case.
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