Worldsheet boundary conditions in Poisson-Lie T-duality
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.
Keywords
Cite
@article{arxiv.hep-th/0606024,
title = {Worldsheet boundary conditions in Poisson-Lie T-duality},
author = {Cecilia Albertsson and Ronald A. Reid-Edwards},
journal= {arXiv preprint arXiv:hep-th/0606024},
year = {2010}
}
Comments
20 pages, Latex; v2: typos and wording corrected, references added; v3: three-dimensional example added, reference added, discussion clarified, published version