1108.6225 (Alexander Quintero Velez)

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

Alexander Quintero Velez

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.

View original: http://arxiv.org/abs/1108.6225