N = 2 world-sheet approach to D-branes on generalized Kaehler geometries: I. General formalism

Physics – High Energy Physics – High Energy Physics - Theory

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7 pages, contribution to the proceedings of the Fourth Workshop of the RTN project 'Constituents, Fundamental Forces and Symme

Scientific paper

10.1002/prop.200900034

We present an N = 2 world-sheet superspace description of D-branes on bihermitian or generalized Kaehler manifolds. To accomplish this, D-branes are considered as boundary conditions for a nonlinear sigma-model in what we call N = 2 boundary superspace. In this note the general formalism for such an approach is presented and the resulting classification sketched. This includes some remarks regarding target spaces whose parameterization includes semi-chiral superfields which have not appeared in the literature yet. In an accompanying note we turn to some examples and applications of the general setup presented here.

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