Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry - High Energy Physics - TheoryReportar como inadecuado




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Abstract: We consider Khudaverdian-s geometric version of a Batalin-Vilkovisky (BV)operator \Delta E in the case of a degenerate anti-Poisson manifold. Thecharacteristic feature of such an operator (aside from being a Grassmann-odd,nilpotent, second-order differential operator) is that it sends semidensitiesto semidensities. We find a local formula for the \Delta E operator inarbitrary coordinates. As an important application of this setup, we considerthe Dirac antibracket on an antisymplectic manifold with antisymplecticsecond-class constraints. We show that the entire Dirac construction, includingthe corresponding Dirac BV operator \Delta {E D}, exactly follows fromconversion of the antisymplectic second-class constraints into first-classconstraints on an extended manifold.



Autor: K. Bering

Fuente: https://arxiv.org/







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