Topological defects for the free boson CFT
High Energy Physics - Theory
2008-11-26 v1
Abstract
Two different conformal field theories can be joined together along a defect line. We study such defects for the case where the conformal field theories on either side are single free bosons compactified on a circle. We concentrate on topological defects for which the left- and right-moving Virasoro algebras are separately preserved, but not necessarily any additional symmetries. For the case where both radii are rational multiples of the self-dual radius we classify these topological defects. We also show that the isomorphism between two T-dual free boson conformal field theories can be described by the action of a topological defect, and hence that T-duality can be understood as a special type of order-disorder duality.
Cite
@article{arxiv.0705.3129,
title = {Topological defects for the free boson CFT},
author = {Jürgen Fuchs and Matthias R. Gaberdiel and Ingo Runkel and Christoph Schweigert},
journal= {arXiv preprint arXiv:0705.3129},
year = {2008}
}