On supersymmetric $Dp - \bar D p$ brane solutions

TL;DR

This paper investigates supersymmetric Dp - anti-Dp brane systems in flat ten-dimensional space, revealing new solutions for p=3,4, including configurations with dissolved D2-branes and Taub-NUT charge, and conjecturing further solutions for higher dimensions.

Contribution

It demonstrates the existence of previously unknown supersymmetric Dp - anti-Dp brane solutions for p=3,4, with explicit constructions and conjectures for higher-dimensional cases.

Findings

Existence of new supersymmetric D3 - anti-D3 and D4 - anti-D4 solutions.

Construction of Killing spinors for these configurations.

Conjecture of additional solutions for higher-dimensional branes with compact directions.

Abstract

We analyze in the spirit of hep-th/0110039 the possible existence of supersymmetric $D p - \bar D p$ brane systems in flat ten dimensional Minkowski space. For $p=3,4$ we show that besides the solutions related by T-duality to the $D2 - \bar D 2$ systems found by Bak and Karch there exist other ansatz whose compatibility is shown from general arguments and that preserve also eight supercharges, in particular a $D4 - \bar D4$ system with D2-branes dissolved on it and Taub-NUT charge. We carry out the explicit construction in Weyl basis of the corresponding Killing spinors and conjecture the existence of new solutions for higher dimensional branes with some compact directions analogous to the supertube recently found.