On the Poisson-Lie T-plurality of boundary conditions

Cecilia Albertsson; Ladislav Hlavaty; Libor Snobl

doi:10.1063/1.2832622

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arXiv · 0706.0820

On the Poisson-Lie T-plurality of boundary conditions

Cecilia Albertsson·Ladislav Hlavaty·Libor Snobl

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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.

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Cecilia Albertsson, Ladislav Hlavaty, Libor Snobl. 2008-03-07. On the Poisson-Lie T-plurality of boundary conditions. https://doi.org/10.1063/1.2832622

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