Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy

Details Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy

2011-08-31

arxiv.org/abs/1108.6225v1

Physics

Mathematical Physics

Scientific paper

A general form for the boundary coupling of a Lie algebroid Poisson sigma model is proposed. The approach involves using the Batalin-Vilkovisky formalism in the AKSZ geometrical version, to write a BRST-invariant coupling for a representation up to homotopy of the target Lie algebroid or its subalgebroids. These considerations lead to a conjectural description of topological D-branes on generalized complex manifolds, which includes A-branes and B-branes as special cases.

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