Worldsheet boundary conditions in Poisson-Lie T-duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, Latex; v2: typos and wording corrected, references added; v3: three-dimensional example added, reference added, disc

Scientific paper

10.1088/1126-6708/2007/03/004

We apply canonical Poisson-Lie T-duality transformations to bosonic open string worldsheet boundary conditions, showing that the form of these conditions is invariant at the classical level, and therefore they are compatible with Poisson-Lie T-duality. In particular the conditions for conformal invariance are automatically preserved, rendering also the dual model conformal. The boundary conditions are defined in terms of a gluing matrix which encodes the properties of D-branes, and we derive the duality map for this matrix. We demonstrate explicitly the implications of this map for D-branes in two non-Abelian Drinfel'd doubles.

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