On higher rank coisotropic A-branes

Details On higher rank coisotropic A-branes On higher rank coisotropic A-branes

2010-03-19

arxiv.org/abs/1003.3771v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; v2: three references added

Scientific paper

This article is devoted to a world sheet analysis of A-type D-branes in N=(2,2) supersymmetric non-linear sigma models. In addition to the familiar Lagrangian submanifolds with flat connection we reproduce the rank one A-branes of Kapustin and Orlov, which are supported on coisotropic submanifolds. The main focus is however on gauge fields of higher rank and on tachyon profiles on brane-antibrane pairs. This will lead to the notion of a complex of coisotropic A-branes. A particular role is played by the noncommutative geometry on the brane world volume. It ensures that brane-antibrane pairs localize again on coisotropic submanifolds.

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