Worldsheet boundary conditions in Poisson-Lie T-duality

Albertsson, Cecilia; Reid-Edwards, Ronald A.

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.

Citation

Albertsson, C., & Reid-Edwards, R. A. (2007). Worldsheet boundary conditions in Poisson-Lie T-duality. Journal of High Energy Physics, 2007(03), Article 004. https://doi.org/10.1088/1126-6708/2007/03/004

• Journal Article Type: Article
• Acceptance Date: Feb 6, 2007
• Online Publication Date: Mar 1, 2007
• Publication Date: Mar 1, 2007
• Deposit Date: Jul 13, 2018
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2007
• Issue: 03
• Article Number: 004
• DOI: https://doi.org/10.1088/1126-6708/2007/03/004
• Public URL: https://hull-repository.worktribe.com/output/926538
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2007/03/004/meta