Entropy of bound states in the matrix description of M5-branes

TL;DR

This paper explores the entropy of bound states in the matrix model of M5-branes, linking supersymmetry, supergravity, and black hole entropy, under large charge assumptions.

Contribution

It provides a matrix description of bound states of M5-branes and calculates their entropy, aligning with black hole entropy in the large charge limit.

Findings

Matrix description of bound states matches supergravity predictions

Entropy calculations agree with Bekenstein-Hawking entropy

Large charge assumption is crucial for decoupling and agreement

Abstract

Like the M-theory itself also the worldvolume theory of the M5-brane contains brane excitations, which can be extracted from the supersymmetry algebra. Bound states (intersecting branes) of the worldvolume can be translated into bound states of {11-d} SUGRA. In this paper, we discuss the matrix description for these bound states and their entropy (=degeneracy). In order to decouple the worldvolume field theory from the bulk gravity we have especially to assume that all charges are large, which gives a nice agreement with the Bekenstein-Hawking entropy of black holes.