Worldsheet boundary conditions in Poisson-Lie T-duality

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Published 1 March 2007 Published under licence by IOP Publishing Ltd
, , Citation Cecilia Albertsson and Ronald A. Reid-Edwards JHEP03(2007)004 DOI 10.1088/1126-6708/2007/03/004

1126-6708/2007/03/004

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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10.1088/1126-6708/2007/03/004