Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-05
JHEP 0312 (2003) 037
Physics
High Energy Physics
High Energy Physics - Theory
Discussion clarified, typos corrected, references updated. Results remain unchanged. 12 pages
Scientific paper
10.1088/1126-6708/2003/12/037
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.
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