Calibrations, Torsion Classes and Wrapped M-Branes

Abstract

The present work has two goals. The first is to complete the classification of geometries in terms of torsion classes of M-branes wrapping cycles of a Calabi-Yau. The second goal is to give insight into the physical meaning of the torsion class constraints. We accomplish both tasks by defining new energy minimizing calibrations in M-brane backgrounds. When fluxes are turned on, it is these calibrations that are relevant, rather than those which had previously been defined in the context of purely geometric backgrounds.

References in corpus (7)

• Non-Kaehler String Backgrounds and their Five Torsion Classes
• G-Structures, Fluxes and Calibrations in M-Theory
• Localized intersections of M5-branes and four-dimensional superconformal field theories
• N=1 M5-brane geometries
• Calibrations and Fayyazuddin-Smith Spacetimes
• That's a wrap!
• From wrapped M-branes to Calabi-Yau black holes and strings

Cited by in corpus (6)

• AdS spacetimes from wrapped M5 branes
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• Wrapped M5-branes leading to five dimensional 2-branes
• Calabi-Yau 3-folds from 2-folds
• $G_2$ holonomy metrics and wrapped D6-branes
• Central charges of wrapped M5-brane backgrounds