On the Poisson-Lie T-plurality of boundary conditions

Details On the Poisson-Lie T-plurality of boundary conditions On the Poisson-Lie T-plurality of boundary conditions

2007-06-06

arxiv.org/abs/0706.0820v3

J.Math.Phys.49:032301,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1063/1.2832622

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.

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