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Covariance of the classical Brink-Schwarz superparticle

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arxiv 1806.09021 v3 pith:QQHDZ7AX submitted 2018-06-23 math-ph hep-thmath.MP

classification math-phhep-thmath.MP
keywords brink-schwarzclassicalsuperparticleakszbatalin--vilkoviskybatalin-vilkoviskybelowcohomology
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We show that the classical Brink-Schwarz superparticle is a generalized AKSZ field theory. We work in the Batalin-Vilkovisky formalism: the main technical tool is the vanishing of Batalin--Vilkovisky cohomology below degree -1.

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  1. The reduced Dirac structure of General Relativity on manifolds with corners

    math-ph 2026-07 conditional novelty 7.0 of 10

    The reduced corner phase space of Palatini–Cartan gravity is a Dirac structure—the graph of a Poisson bivector—yielding a strict BF2V theory.

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