Published January 2011
| Submitted
Journal Article
Open
Invertible defects and isomorphisms of rational CFTs
- Creators
- Davydov, Alexei
- Kong, Liang
- Runkel, Ingo
Abstract
Given two two-dimensional conformal field theories, a domain wall —or defect line— between them is called invertible if there is another defect with which it fuses to the identity defect. A defect is called topological if it is transparent to the stress tensor. A conformal isomorphism between the two CFTs is a linear isomorphism between their state spaces which preserves the stress tensor and is compatible with the operator product expansion. We show that for rational CFTs there is a one-to-one correspondence between invertible topological defects and conformal isomorphisms if both preserve the rational symmetry. This correspondence is compatible with composition.
Additional Information
© 2012 International Press. Published January 2011. The authors would like to thank Jürgen Fuchs for helpful comments on a draft of this paper. AD thanks Max Planck Institut für Mathematik (Bonn) for hospitality and excellent working conditions. LK is supported in part by the Gordon and Betty Moore Foundation through Caltech's Center for the Physics of Information, and by NSF Grant No. PHY-0803371, the Basic Research Young Scholars Program and the Initiative Scientific Research Program of Tsinghua University, and NSFC Grant No. 11071134.Attached Files
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Additional details
- Eprint ID
- 32064
- Resolver ID
- CaltechAUTHORS:20120625-125842022
- Gordon and Betty Moore Foundation
- Caltech Center for the Physics of Information
- PHY-0803371
- NSF
- Basic Research Young Scholars Program
- Tsinghua University
- 11071134
- National Natural Science Foundation of China
- Created
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2012-06-25Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field