Open Access
January 2011 Invertible defects and isomorphisms of rational CFTs
Alexei Davydov, Liang Kong, Ingo Runkel
Adv. Theor. Math. Phys. 15(1): 43-69 (January 2011).


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.


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Alexei Davydov. Liang Kong. Ingo Runkel. "Invertible defects and isomorphisms of rational CFTs." Adv. Theor. Math. Phys. 15 (1) 43 - 69, January 2011.


Published: January 2011
First available in Project Euclid: 24 April 2012

zbMATH: 1246.81319
MathSciNet: MR2888007

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 1 • January 2011
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