TL;DR
This paper investigates BPS M-brane geometries in flux backgrounds, deriving constraints on differential forms and identifying the calibration form as co-closed, advancing the classification of supersymmetric M-brane solutions.
Contribution
It introduces new constraints on differential forms in M-brane backgrounds and establishes the co-closed nature of the calibration form, aiding classification of BPS geometries.
Findings
Calibration form is co-closed in M-brane backgrounds
Derived constraints on differential forms in back-reacted manifolds
Enhanced understanding of supersymmetric flux geometries
Abstract
In the search for a classification of BPS backgrounds with flux, we look at geometries that arise when M-branes wrap supersymmetric cycles in Calabi-Yau manifolds. We find constraints on the differential forms in the back-reacted manifolds and discover that the calibration corresponding to the (background generating) M-brane is a co-closed form.
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