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Worldsheet boundary conditions in Poisson-Lie T-duality

Cecilia Albertsson·Ronald A. Reid-Edwards
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Abstract

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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Cecilia Albertsson, Ronald A. Reid-Edwards. 2007-03-02. Worldsheet boundary conditions in Poisson-Lie T-duality. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F004

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