Invertible defects and isomorphisms of rational CFTs

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Erscheinungsjahr:
2011
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  • 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. © 2012 International Press.
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  • info:eu-repo/semantics/openAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/9f89828e-abc6-4ed3-9d61-ce72730c4652