Modular Classes and Supersymmetric Berezin Volumes

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 \(\mathcal {N}=2\) \(d=1\) supertranslation algebra. We establish a cohomological coherence criterion for the existence of a Berezin volume that is invariant under both of the supercharges. Abstract Published by the Jagiellonian University 2026 authors

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Journal
Acta Physica Polonica B
Published
2026-10-05
DOI
https://doi.org/10.5506/aphyspolb.57.11-a2
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Modular Classes and Supersymmetric Berezin Volumes

Andrew James Bruce
Acta Physica Polonica B
Homotopy and Cohomology in Algebraic Topology
article

Modular Classes and Supersymmetric Berezin Volumes

Andrew James Bruce
article en

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 \(\mathcal {N}=2\) \(d=1\) supertranslation algebra. We establish a cohomological coherence criterion for the existence of a Berezin volume that is invariant under both of the supercharges. Abstract Published by the Jagiellonian University 2026 authors

Acta Physica Polonica BVol. 57(11)
University of Banja Luka (BA)
Openalex Percentile: Top 86%
Homotopy and Cohomology in Algebraic Topology
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Modular Classes and Supersymmetric Berezin Volumes — Andrew James Bruce · Acta Physica Polonica B (2026) | TGRS Research Map | TGRS