Generalized complex geometry and the Poisson Sigma Model

Details Generalized complex geometry and the Poisson Sigma Model Generalized complex geometry and the Poisson Sigma Model

2004-09-27

arxiv.org/abs/hep-th/0409283v3

Mod.Phys.Lett. A20 (2005) 985-996

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX. v2: references added, typos, v3: more typos, references updated, final version

Scientific paper

10.1142/S0217732305017184

The supersymmetric Poisson Sigma model is studied as a possible worldsheet realization of generalized complex geometry. Generalized complex structures alone do not guarantee non-manifest N=(2,1) or N=(2,2) supersymmetry, but a certain relation among the different Poisson structures is needed. Moreover, important relations of an additional almost complex structure are found, which have no immediate interpretation in terms of generalized complex structures.

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