Hermitian D-brane solutions

TL;DR

This paper constructs supersymmetric D-brane solutions with Hermitian metrics on internal spaces, generalizing harmonic superposition, and uses T-duality to extend solutions across IIA and IIB string theories.

Contribution

It introduces a novel class of D-brane solutions featuring Hermitian metrics, expanding the harmonic superposition framework and demonstrating supersymmetry saturation.

Findings

Solutions are supersymmetric and saturate the BPS bound.

Hermitian metrics are built from multiple harmonic functions.

T-duality generates additional solutions in IIA and IIB theories.

Abstract

A low-energy background field solution describing D-membrane configurations is constructed which is distinguished by the appearance of a Hermitian metric on the internal space. This metric is composed of a number of independent harmonic functions on the transverse space. Thus this construction generalizes the usual harmonic superposition rule. The BPS bound of these solutions is shown to be saturated indicating that they are supersymmetric. By means of T-duality, we construct more solutions of the IIA and IIB theories.