# Black-hole entropy from supergravity superstrata states

Journal of High Energy Physics, Oct 2014

There are, by now, several arguments that superstrata, which represent D1-D5-P bound states that depend upon arbitrary functions of two variables and that preserve four supersymmetries, exist in string theory, and that their gravitational back-reaction results in smooth horizonless solutions. In this paper we examine the shape and density modes of the superstratum and give strong evidence that the back-reacted supergravity solution allows for fluctuation modes whose quantization reproduces the entropy growth of black holes as a function of the charges. In particular, we argue that the shape modes of the superstratum that lie purely within the non-compact space-time directions account for at least $1/\sqrt{6}$ of the entropy of the D1-D5-P black hole and propose a way in which the rest of the entropy could be captured by superstratum fluctuations. We complete the picture by conjecturing a relationship between bound states of multiple superstrata and momentum excitations of different twisted sectors of the dual CFT.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP10%282014%29140.pdf

Iosif Bena, Masaki Shigemori, Nicholas P. Warner. Black-hole entropy from supergravity superstrata states, Journal of High Energy Physics, 2014, 140, DOI: 10.1007/JHEP10(2014)140