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

作者：Sevrin Alexander^*; Staessens Wieland; Wijns Alexander

来源：The Journal of High Energy Physics, 2008, (10): 108.

• D-branes
• Superspaces
• Sigma Models

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 WZW-model on the Hopf surface S-3 x S-1. 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.

• 出版日期2008-10