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Boundary Coupling of Lie Algebroid Poisson Sigma Models and Representations up to Homotopy

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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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  1. Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, UK

    Alexander Quintero Vélez

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  1. Alexander Quintero Vélez
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Vélez, A.Q. Boundary Coupling of Lie Algebroid Poisson Sigma Models and Representations up to Homotopy. Lett Math Phys 102, 31–64 (2012). https://doi.org/10.1007/s11005-012-0549-6

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  • DOI: https://doi.org/10.1007/s11005-012-0549-6

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