(m,n)-String-Like Dp-Brane Bound States

TL;DR

This paper explores the existence of (m, n)-string-like bound states of Dp-branes in type IIA and IIB string theories, generalizing known (1, n)-string states to higher-dimensional branes while preserving supersymmetry.

Contribution

It proposes the existence of Dp-brane bound states with quantized electric flux for p=2 to 8, extending the (m, n)-string concept to higher-dimensional branes in both string theories.

Findings

Bound states exist for 2 ≤ p ≤ 8 in type IIA and IIB.

These states are interpreted as n Dp-branes with m units of electric flux.

All such states preserve half of the spacetime supersymmetries.

Abstract

An (m, n)-string bound state (with m, n relatively prime integers) in type IIB string theory can be interpreted from the D-string worldsheet point of view as n D-strings carrying m units of quantized electric flux or quantized electric field. We argue, from the D-brane worldvolume point of view, that similar Dp-brane bound states should also exist for $2 \le p \le 8$ in both type IIA (when $p$ is even) and type IIB (when $p$ is odd) string theories. As in $p = 1$ case, these bound states can each be interpreted as $n$ Dp-branes carrying m units of quantized constant electric field. In particular, they all preserve one half of the spacetime supersymmetries.