An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case

Details An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case

2009-08-19

arxiv.org/abs/0908.2756v1

JHEP 0909:105,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, JHEP3.cls, 57 pages

Scientific paper

10.1088/1126-6708/2009/09/105

We complete the investigation of N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We study the full bihermitian geometry parameterized by chiral, twisted chiral and semi-chiral superfields and identify the D-brane configurations preserving an N=2 worldsheet supersymmetry. Combining twisted with semi-chiral superfields leads to a clearly defined notion of lagrangian and coisotropic branes generalizing lagrangian and coisotropic A-branes on Kahler manifolds to manifolds which are not necessarily Kahler (but still bihermitian). Adding chiral fields complicates the picture and results in hybrid configurations interpolating between lagrangian/coisotropic branes and branes wrapping around a holomorphic cycle. Even here the branes can be viewed as coisotropic submanifolds albeit in a generalized sense. All supersymmetric D-brane configurations are characterized in the context of generalized complex geometry. Duality transformations interchanging the various types of superfields while preserving all supersymmetries are explicitly constructed and provide for a powerful technique to construct various highly non-trivial D-brane configurations. Several explicit examples are given.

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