A Lie Group Structure Underlying the Triplectic Geometry

Details A Lie Group Structure Underlying the Triplectic Geometry A Lie Group Structure Underlying the Triplectic Geometry

1999-01-12

arxiv.org/abs/hep-th/9901046v2

Phys.Lett. B458 (1999) 499-504

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 8pp., minor corrections

Scientific paper

10.1016/S0370-2693(99)00610-3

We consider the pair of degenerate compatible antibrackets satisfying a generalization of the axioms imposed in the triplectic quantization of gauge theories. We show that this actually encodes a Lie group structure, with the antibrackets being related to the left- and right- invariant vector fields on the group. The standard triplectic quantization axioms then correspond to Abelian groups.

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