M-Branes on k-center Instantons

TL;DR

This paper derives analytic solutions for membrane metrics in complex geometries, enabling fully localized brane intersections in string theory with preserved supersymmetry.

Contribution

It introduces new analytic solutions for membrane metrics based on k-center instanton geometries, advancing understanding of localized brane intersections.

Findings

Solutions depend on multiple transverse coordinates.

Realizations of localized D2/D6 and NS5/D6 brane intersections.

All solutions preserve partial supersymmetry.

Abstract

We present analytic solutions for membrane metric function based on transverse $k$-center instanton geometries. The membrane metric functions depend on more than two transverse coordinates and the solutions provide realizations of fully localized type IIA D2/D6 and NS5/D6 brane intersections. All solutions have partial preserved supersymmetries.