Five dimensional 2-branes from special Lagrangian wrapped M5-branes

TL;DR

This paper constructs explicit five-dimensional black 2-brane solutions in N=2 supergravity, derived from M-branes wrapped on special Lagrangian cycles of Calabi-Yau manifolds, advancing understanding of brane configurations in string theory.

Contribution

It introduces an ansatz for magnetically charged black 2-branes in five dimensions and provides explicit solutions in special cases, linking M-branes to wrapped Calabi-Yau cycles.

Findings

Explicit solutions for certain cases of 2-branes

Constraints on general solutions analyzed

Connection between M-branes and Calabi-Yau cycles established

Abstract

We present an ansatz for black 2-branes in five dimensional N=2 supergravity theory that carry magnetic charge with respect to general hypermultiplet scalars. We find explicit solutions in certain special cases and examine the constraints on the general case. These branes may be thought of as arising from M-branes by wrapping eleven dimensional supergravity over special Lagrangian calibrated cycles of a Calabi-Yau 3-fold.