Closed superforms, contracted with commuting Killing spinors on supersymmetric backgrounds, produce equivariantly closed polyforms; demonstrated in 4d N=2 conformal supergravity.
Ectoplasm Has No Topology: The Prelude
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abstract
Preliminary evidence is presented that a long overlooked and critical element in the fundamental definition of a general theory of integration over curved Wess-Zumino superspace lies with the imposition of ``the Ethereal Conjecture'' which states the necessity of the superspace to be topologically ``close'' to its purely bosonic sub-manifold. As a step in proving this, a new theory of integration of closed super p-forms is proposed.
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Superform Approach to Equivariant Localization in Supergravity
Closed superforms, contracted with commuting Killing spinors on supersymmetric backgrounds, produce equivariantly closed polyforms; demonstrated in 4d N=2 conformal supergravity.