Target Space Equivariant Cohomological Structure of the Poisson Sigma Model
Mathematical Physics
2009-11-07 v1 High Energy Physics - Theory
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0205006,
title = {Target Space Equivariant Cohomological Structure of the Poisson Sigma Model},
author = {Roberto Zucchini},
journal= {arXiv preprint arXiv:math-ph/0205006},
year = {2009}
}
Comments
36 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex