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Odd Invariant Semidensity and Divergence-like Operators on an Odd Symplectic Superspace

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Abstract:

The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way. The formula for this semidensity is similar to the formula of the mean curvature of hypersurfaces in Euclidean space.

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Authors and Affiliations

  1. Laboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Dubna, Moscow Region 141980, Russia. E-mails: khudian@thsun1.jinr.ru; khudian@vxjinr.jinr.ru; khudian@sc2a.unige.ch, , , , , , RU

    O. M. Khudaverdian

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  1. O. M. Khudaverdian
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Received: 19 August 1997 / Accepted: 27 March 1998

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Khudaverdian, O. Odd Invariant Semidensity and Divergence-like Operators on an Odd Symplectic Superspace. Comm Math Phys 198, 591–606 (1998). https://doi.org/10.1007/s002200050488

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  • DOI: https://doi.org/10.1007/s002200050488

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