Supercharged AdS3 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.

Bootstrapping quantum extremal surfaces. Part I. The area operator

“…In particular, the energy of the two-particle state is not twice that of the one-particle state and the Fock nature of the Hilbert space disappears. Moreover, the CFT operators dual to one-particle states can mix with multi-trace operators [62,63]. However, one can check that for one-particle states, these features do not affect the area operator (the technology of [64] is useful to that end).…”

Q-balls meet fuzzballs: non-BPS microstate geometries

“…In retrospect, the needle that has been threaded by microstate geometries highlights the fact that they represent the primary mechanism 2 [1] through which one can describe the smooth gravitational expression of coherent microstate structure at the horizon scale. Indeed, the last few years have seen extensive holographic confirmation that the class of microstate geometries known as "superstrata" describe families of coherent states of the D1-D5 CFT that underlie the three-charge black hole in five dimensions [4][5][6][7][8][9][10][11]. In the last twenty years, microstate geometries have gone from being a chimera to becoming a standard laboratory for testing holographic CFT and supporting horizon-scale microstructure.…”

“…There were two breakthroughs that followed the early work on supersymmetric microstate geometries: the construction of scaling geometries that accessed the typical sector of the dual CFT, and then the construction of superstrata, whose geometries have a precise holographic correspondence with states of the D1-D5 CFT [4][5][6][7][8][9][10][11].…”

Holographic correlators with multi-particle states

“…Notice that the contribution r = s is absent, while a term of this type arises when taking the OPE limit O 2 ∼ lim w→z O(w)O(z). By following the dictionary [46,47] for supersymmetric operators between the supergravity and the free orbifold points, we have the following schematic form for the relation between the two types of double-trace operators discussed above…”

“…where the operators appearing on the right-hand side are the standard ones used in holographic calculations in the supergravity approximation. 4 A signal that the microstate geometries are constructed in terms of : O n : is that they induce a vev for dimension two operators [47,48] which would be absent when using the more standard definition because they involve extremal couplings. With a slight abuse of notation, from now on we will write between colons the (external) multi-trace operators relevant to the microstate geometries (3.3) and use the same notation for correlators involving this type of multi-trace operators.…”