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Modular Classes and Supersymmetric Berezin Volumes

2025/12/13 by Andrew James Bruce, Bruce, Andrew James
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2512.12269

Abstract

We argue that modular classes of Q-manifolds provide an efficient method for addressing the existence of supersymmetric Berezin volumes in the supergeometric representation theory of the N=2 d=1 supertranslation algebra. We establish a cohomological coherence criterion for the existence of a Berezin volume that is invariant under both of the supercharges.

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