# One point functions for black hole microstates

## TL;DR

This paper calculates one point functions of chiral primary operators in the D1-D5 orbifold CFT for states representing black hole microstates, revealing suppression patterns related to string length and supergravity scales.

## Contribution

It introduces methods to approximate one point functions in superpositions of microstates and analyzes their behavior in the large N limit.

## Key findings

- Microstates from long strings have suppressed one point functions.
- Suppressed one point functions imply scales comparable to higher derivative corrections.
- Supergravity descriptions are valid only for certain 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.