On the Poisson-Lie T-plurality of boundary conditions

Abstract

Conditions for the gluing matrix defining consistent boundary conditions of two-dimensional nonlinear sigma-models are analyzed and reformulated. Transformation properties of the right-invariant fields under Poisson-Lie T-plurality are used to derive a formula for the transformation of the boundary conditions. Examples of transformation of D-branes in two and three dimensions are presented. We investigate obstacles arising in this procedure and propose possible solutions.

arXiv comment25 pages, LaTeX; major revision, discussion of boundary fields added; author's version of the published paper

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Cited by in corpus (5)

• D-branes and doubled geometry
• D-branes in $\lambda$-deformations
• Poisson-Lie T-plurality for WZW backgrounds
• Poisson-Lie T-duality defects and target space fusion
• Description of D-branes invariant under the Poisson-Lie T-plurality