Supergravity field equations from the superconnection
نویسنده
چکیده
We show that the bosonic equations of motion of eleven-dimensional supergravity (with gravitino set to zero) are equivalent to the vanishing of an equation written purely in terms of the supercovariant derivative appearing in the supersymmetry transformation of the gravitino. This equation corresponds to the vanishing of the gamma trace of the curvature of this superconnection. The equivalence is independent of whether a particular supergravity solution admits Killing spinors. We argue that the equivalence is also true for supergravity theories with one gravitino (and no other fermions) in lower dimensions.
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تاریخ انتشار 2004