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

Abstract

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.

arXiv comment7 pages, contribution to the proceedings of the Fourth Workshop of the RTN project 'Constituents, Fundamental Forces and Symmetries of the Universe', Varna, September 11 - 17, 2008

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Cited by in corpus (2)

• An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case
• N=2 world-sheet approach to D-branes on generalized Kaehler geometries: II. Dualities