Topological defects for the free boson CFT

Details Topological defects for the free boson CFT Topological defects for the free boson CFT

2007-05-22

arxiv.org/abs/0705.3129v1

J.Phys.A40:11403,2007

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 4 figures

Scientific paper

10.1088/1751-8113/40/37/016

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.

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