Supersymmetry Enhancement of D-p-branes and M-branes

TL;DR

This paper investigates supersymmetry properties of D-branes and M-branes, revealing conditions under which supersymmetry is restored near horizons and exploring the universality of near horizon geometries in intersecting brane configurations.

Contribution

It provides new insights into supersymmetry enhancement near brane horizons and discusses the universality of near horizon geometries for intersecting branes.

Findings

Supersymmetry is restored near the horizon for p ≤ 3 in the stringy frame.

Supersymmetry restoration occurs only for p=3 in the 10d canonical frame.

Indications of universality in near horizon geometries of intersecting branes.

Abstract

We examine the supersymmetry of classical D-brane and M-brane configurations and explain the dependence of Killing spinors on coordinates. We find that one half supersymmetry is broken in the bulk and that supersymmetry near the D-brane horizon is restored for $p\leq 3$, for solutions in the stringy frame, but only for $p=3$ in the10d canonical frame. We study the enhancement for the case of four intersecting D-3-branes in 10 dimensions and the implication of this for the size of the infinite throat of the near horizon geometry in non-compactified theory. We found some indications of universality of near horizon geometries of various intersecting brane configurations.