M-Branes on Minimal Surfaces

TL;DR

This paper constructs new M-theory brane solutions using minimal surfaces, demonstrating preserved supersymmetry and exploring their compactification, T-duality, and decoupling limits.

Contribution

It introduces novel M-brane solutions based on minimal surfaces, including explicit supersymmetry preservation and analysis of their dualities and limits.

Findings

Solutions preserve eight supersymmetries

Explicit embedding of Nutku geometry in M-branes

Analysis of T-dual and decoupling limits

Abstract

We construct some new brane solutions in M-theory, based on the minimal surfaces. In particular, we consider the anti-self-dual Nutku geometry, and embed it in the membranes and five-branes of the eleven-dimensional supergravity. We explicitly show that the solutions preserve eight supersymmetries. Upon compactification on a circle, we find fully localized intersecting brane systems. We also discuss the T-dual and the decoupling limits of the solutions.