One point functions for black hole microstates

Abstract

We compute one point functions of chiral primary operators in the D1-D5 orbifold CFT, in classes of states corresponding to microstates of two and three charge black holes. Black hole microstates describable by supergravity solutions correspond to coherent superpositions of states in the orbifold theory and we develop methods for approximating one point functions in such superpositions in the large N limit. We show that microstates built from long strings (large twist operators) have one point functions that are suppressed by powers of N . Accordingly, even when these microstates admit supergravity descriptions, the characteristic scales in these solutions are comparable to higher derivative corrections to supergravity.

Q-balls meet fuzzballs: non-BPS microstate geometries

“…This means that we must choose ω 0 to be an even integer, as in (6.8), and for ω 0 ∈ 2Z and ω 0 ≥ 0, these solutions are all polynomial. 10 For ω 0 = 0, 2, 4 we will use:…”

“…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].…”

“…On a technical holographic level, there is the obvious question of looking at the precision holography of the new microstrata [4][5][6][7][8][9][10][11]. This might seem to be something of a challenge because precision holography often involves correlators that are protected by supersymmetry.…”

Supercharged AdS3 Holography

“…The parameters in the supergravity solutions have a specific holographic interpretation in the proposed dual CFT states. Precision holography, in particular protected three-point correlation functions that consist of the expectation value of a light operator in the heavy background, can be used to investigate such proposals [6,[27][28][29][30][31].…”