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Supersymmetry and generalized calibrations

Supersymmetry and generalized calibrations

A static minimal energy configuration of a super p-brane in a supersymmetric $(n+1)$-dimensional spacetime is shown to be a ``generalized calibrated'' submanifold. Calibrations in ${E}^{(1,n)}$ and ${\mathrm{AdS}}_{n+1}$ are special cases. We present several M-brane examples.