An N=2 worldsheet approach to D-branes in bihermitian geometries: I. Chiral and twisted chiral fields

Alexandre Sevrin, Wieland Staessens, Alexander Wijns

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8 Citations (Scopus)

Abstract

We investigate N = (2, 2) supersymmetric nonlinear sigma-models in the presence of a boundary. We restrict our attention to the case where the bulk geometry is described by chiral and twisted chiral superfields corresponding to a bihermitian bulk geometry with two commuting complex structures. The D-brane configurations preserving an N = 2 worldsheet supersymmetry are identified. Duality transformations interchanging chiral for twisted chiral fields and vice versa while preserving all supersymmetries are explicitly constructed. We illustrate our results with various explicit examples such as the WZWmodel on the Hopf surface S3×S1. The duality transformations provide e.g new examples of coisotropic A-branes on Kahler manifolds (which are not necessarily hyper-Kahler). Finally, by dualizing a chiral and a twisted chiral field to a semi-chiral multiplet, we initiate the study of D-branes in bihermitian geometries where the cokernel of the commutator of the complex structures is non-empty.
Original languageEnglish
Article number108
Pages (from-to)1-49
Number of pages50
JournalThe Journal of high energy physics
Volume2008
Issue number10
Publication statusPublished - 2008

Keywords

  • Theoretical elementary particle physics

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