Bound States of D(2p)-D0 Systems and Supersymmetric p-Cycles

TL;DR

This paper explores supersymmetric bound states of D-branes with magnetic fluxes, analyzing conditions for supersymmetry in gauge configurations related to p-cycles, with implications for string theory compactifications.

Contribution

It provides an elementary derivation of supersymmetric conditions for D-brane bound states related by T-duality to p-cycles in complex space.

Findings

Identification of conditions for supersymmetric D-brane bound states.

Connection between magnetic flux configurations and supersymmetric p-cycles.

Insights into tachyon condensation leading to stable bound states.

Abstract

We discuss some issues related to D(2p)-D0 branes with background magnetic fluxes respectively, in a T-dual picture, Dp-Dp branes at angles. In particular, we describe the nature of the supersymmetric bound states appearing after tachyon condensation. We present a very elementary derivation of the conditions to be satisfied by such general supersymmetric gauge configurations, which are simply related by T-duality to the conditions for supersymmetric p-cycles in C^p.