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

Quintero Velez, A. (2011) Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy. Letters in Mathematical Physics, (Unpublished)

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.

• Item Type: Articles
• Additional Information: The full text of this paper will not be available until after publication.
• Status: Unpublished
• Refereed: No
• Glasgow Author(s) Enlighten ID: Quintero Velez, Dr Alexander
• Authors: Quintero Velez, A.
• Subjects: Q Science > QC Physics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Letters in Mathematical Physics
• ISSN: 0377-9017

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Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
48001	1	Noncommutative toric geometry and multilinear series	Alastair Craw	Engineering & Physical Sciences Research Council (EPSRC)	EP/G004048/1	Mathematics