M2-branes wrapped on holomorphic curves
arXiv:hep-th/0211030 · doi:10.1088/1126-6708/2003/12/037
Abstract
The generalised calibration for a wrapped membrane is gauge equivalent to the supergravity three-form under which the membrane is electrically charged. Given the relevant calibration, one can go a long way towards constructing the supergravity solution for the wrapped brane. Applications of this method have been restricted since generalised calibrations have not yet been completely classified in spacetimes with non-vanishing flux. In this paper, we take a first step towards such a classification by studying membranes wrapping holomorphic curves. Supersymmetry preservation imposes a constraint on the Hermitean metric in the embedding space and it is found that this can be expressed as a restriction on possible generalised calibrations. Allowed calibrations in a particular spacetime are simply those which satisfy the constraint equation relevant to that background; in particular, we see that the previously considered Kahler calibrations are just a subclass of possible solutions.
Discussion clarified, typos corrected, references updated. Results remain unchanged. 12 pages
References in corpus (5)
Cited by in corpus (11)
- G-Structures, Fluxes and Calibrations in M-Theory
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- Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
- Supersymmetric AdS Backgrounds in String and M-theory
- The Supermembrane with Central Charges on a G2 Manifold
- M2-branes on a constant flux background
- Five dimensional 2-branes from special Lagrangian wrapped M5-branes
- The Geometry of M-Branes Wrapping Special Lagrangian Cycles
- Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics