Target space equivariant cohomological structure of the Poisson sigma model

Zucchini, Roberto

doi:10.1016/S0393-0440(03)00042-1

Target space equivariant cohomological structure of the Poisson sigma model

Roberto Zucchini
(
- Bologna U. and
- INFN, Bologna
)

Apr, 2002

36 pages

Published in:

J.Geom.Phys. 48 (2003) 219-244

e-Print:

math-ph/0205006 [math-ph]

DOI:

10.1016/S0393-0440(03)00042-1

Report number:

DFUB-02-03

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Abstract:

We study a formulation of the standard Poisson sigma model in which the target space Poisson manifold carries the Hamilton action of some finite dimensional Lie algebra. We show that the structure of the action and the properties of the gauge invariant observables can be understood in terms of the associated target space equivariant cohomology. We use a de Rham superfield formalism to efficiently explore the implications of the Batalin Vilkoviski master equation.

sigma model: nonlinear
supersymmetry: superfield
quantization: Batalin-Vilkovisky
Hamiltonian formalism
cohomology
differential forms
differential geometry
algebra: Lie

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