Delocalized Supergravity Solutions for Brane/Anti-brane Systems and their Bound States

TL;DR

This paper constructs delocalized supergravity solutions for brane/anti-brane pairs and their bound states by deriving solutions in four and ten dimensions, providing insights into their structure and interactions.

Contribution

It introduces new supergravity solutions for brane/anti-brane systems derived from effective string theories, including their bound states and potential superposition rules.

Findings

Derived D=4 dipole and bound state solutions.

Oxidized solutions to D=10 for brane/anti-brane pairs.

Speculated on harmonic superposition rules for intersecting branes.

Abstract

We obtain various solutions for D=4 dipoles and their bound states whose U(1) fields originate from various form fields in the effective string theories. We oxidize such dipole solutions to D=10 to obtain delocalized supergravity solutions for the brane/anti-brane pairs and their bound states. We speculate on generalized harmonic superposition rules for supergravity solutions for (intersecting) brane/anti-brane pairs.