A Kaehler Structure of the Triplectic Geometry

Details A Kaehler Structure of the Triplectic Geometry A Kaehler Structure of the Triplectic Geometry

1998-07-02

arxiv.org/abs/hep-th/9807023v2

Theor.Math.Phys. 124 (2000) 1157-1171; Teor.Mat.Fiz. 124 (2000) 355-372

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 14pp, minor correction

Scientific paper

We study the geometry of the triplectic quantization of gauge theories. We
show that underlying the triplectic geometry is a Kaehler manifold N endowed
with a pair of transversal polarizations. The antibrackets can be brought to
the canonical form if and only if N admits a flat symmetric connection that is
compatible with the complex structure and the polarizations.

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