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Mirror extensions of local nets

2005/05/17 by Feng Xu, Xu, Feng · 1 citation
Mathematics · Physics and Astronomy · #17B-69 #81R-15 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math-ph #math.MP #math.OA #math.QA #msc:17B-69 #msc:81R-15

paper · pdf · doi:10.48550/arxiv.math/0505367

15 pages, latex

arxiv created 2005/05/17 · arxiv updated 2009/12/01

Abstract

In this paper we prove a general theorem on the extensions of local nets which was inspired by recent examples of exotic extensions for Virasoro nets with central charge less than one and earlier work on cosets and conformal inclusions. When applying the theorem to conformal inclusions and diagonal inclusions, we obtain infinite series of new examples of completely rational nets.

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