# Counting D1-D5-P Microstates in Supergravity

### Submission summary

 As Contributors: Daniel Mayerson Arxiv Link: https://arxiv.org/abs/2010.04172v2 (pdf) Date accepted: 2021-01-15 Date submitted: 2021-01-13 08:46 Submitted by: Mayerson, Daniel Submitted to: SciPost Physics Academic field: Physics Specialties: High-Energy Physics - Theory Approach: Theoretical

### Abstract

We quantize the D1-D5-P microstate geometries known as superstrata directly in supergravity. We use Rychkov's consistency condition [hep-th/0512053] which was derived for the D1-D5 system; for superstrata, this condition turns out to be strong enough to fix the symplectic form uniquely. For the $(1,0,n)$ superstrata, we further confirm this quantization by a bona-fide explicit computation of the symplectic form using the semi-classical covariant quantization method in supergravity. We use the resulting quantizations to count the known supergravity superstrata states, finding agreement with previous countings that the number of these states grows parametrically smaller than those of the corresponding black hole.

Published as SciPost Phys. 10, 018 (2021)

### List of changes

v2: reference [23] added; sentence added at the end of paragraph 4 in introduction (p2) introducing superstrata (k,m,n) notation.

### Submission & Refereeing History

Resubmission 2010.04172v2 on 13 January 2021
Submission 2010.04172v1 on 30 October 2020