On higher rank coisotropic A-branes

Manfred Herbst

doi:10.1016/j.geomphys.2011.10.003

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arXiv · 1003.3771

On higher rank coisotropic A-branes

Manfred Herbst

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Abstract

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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Manfred Herbst. 2010-03-19. On higher rank coisotropic A-branes. https://doi.org/10.1016/j.geomphys.2011.10.003

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