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arXiv · 1108.6225

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

Alexander Quintero Velez
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Abstract

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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Alexander Quintero Velez. 2012-08-31. Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy. https://doi.org/10.1007/s11005-012-0549-6

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