Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 40, Issue 37, Pages 11403-11440Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/37/016
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Funding
- EPSRC [EP/E005047/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E005047/1] Funding Source: researchfish
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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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