Bound States of Branes with Minimal Energy

TL;DR

This paper discusses how the energy of D-brane and string bound states is governed by supersymmetry central charges, revealing a universal minimal energy property that supports the brane description of black hole near-horizon geometries.

Contribution

It demonstrates that the energy of brane bound states reaches a minimum at certain moduli, providing evidence for the brane model of black hole near-horizon regions.

Findings

Bound state energies are determined by supersymmetry central charges.

The total energy has a minimum at specific moduli values.

Black hole near-horizon geometry can be modeled by brane bound states.

Abstract

It is pointed out that the energy of the bound states of D-branes and strings is determined by the central charge of the space-time supersymmetry. The universality which is seen at the black hole horizon appears also on the D-brane side: the total energy of the bound states of a given number of branes has a minimum when considered as a function of the independent parameters (moduli). This provides a new evidence that the near-horizon space-time geometry of the dilaton black holes can be represented by the bound states of branes. The axion-dilaton dyonic black holes have the mass formula of the non-threshold type bound state. Upon uplifting to higher dimensions they may give information about such states.