2003/03/20 by Feng Xu, Xu, Feng · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #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
paper · pdf · doi:10.48550/arxiv.math/0303266
36 pages, Amstex. Prop. 3.4 improved due to a theorem of R. Longo and J. E. Roberts as pointed out by R. Longo; Added references and some typos corrected
openalex publication_date 2003/03/20 · arxiv created 2003/04/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the fixed point subnet of a strongly additive conformal net under the action of a compact group is strongly additive. Using the idea of the proof we define the notion of strong additivity for a pair of conformal nets and we show that a key result about the induction of the pair which we proved previously under the finite index assumption can be generalized to strongly additive pairs of conformal nets. These results are applied to classify conformal nets of central charge c=1 which are not necessarily rational and satisfy a spectrum condition.