3-Branes on Eguchi-Hanson 6D Instantons

TL;DR

This paper constructs a new class of six-dimensional instantons based on Eguchi-Hanson metrics, resolves conifolds, and explores D3-brane solutions on these geometries, contributing to string theory and supergravity research.

Contribution

It introduces a novel method for building regular 6D instantons from Eguchi-Hanson inspired metrics and derives D3-brane solutions on these resolved conifolds.

Findings

Constructed regular six-dimensional instantons as $S^2\times S^2$ resolved conifolds.

Derived D3-brane solutions on the new instanton backgrounds.

Enhanced understanding of brane configurations in complex geometries.

Abstract

We use the approach used by Eguchi-Hanson in constructing four-dimensional instanton metrics and construct a class of regular six-dimensional instantons which are nothing but $S^2\times S^2$ resolved conifolds. We then also obtain D3-brane solutions on these EH-resolved conifolds.