Open Access
Translator Disclaimer
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).

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.

Citation

Download Citation

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

Information

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

zbMATH: 1246.81319
MathSciNet: MR2888007

Rights: Copyright © 2011 International Press of Boston

JOURNAL ARTICLE
27 PAGES


SHARE
Vol.15 • No. 1 • January 2011
Back to Top