Calibrations and Fayyazuddin-Smith Spacetimes

TL;DR

This paper demonstrates that certain intersecting M5-brane spacetimes admit generalized Kahler calibrations, enabling the construction of new calibrated p-brane solutions and linking them to supersymmetric cycles in Calabi-Yau manifolds.

Contribution

It introduces a generalized Kahler calibration framework for Fayyazuddin-Smith spacetimes, expanding the class of known calibrated p-brane solutions and their geometric interpretations.

Findings

Identification of generalized Kahler calibrations in intersecting M5-brane spacetimes

Construction of new p-brane world-volume soliton solutions

Connection to supersymmetric cycles in Calabi-Yau manifolds

Abstract

We show that a class of spacetimes introduced by Fayyazuddin and Smith to describe intersecting M5-branes admit a generalized Kahler calibration. Equipped with this understanding, we are able to construct spacetimes corresponding to further classes of calibrated $p$-brane world-volume solitons. We note that these classes of spacetimes also describe the fields of $p$-branes wrapping certain supersymmetric cycles of Calabi-Yau manifolds.