Zum Hauptinhalt springen
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

On intermediate conformal nets

  • EMAIL logo
Veröffentlicht/Copyright: 29. September 2012

Abstract.

Motivated by our subfactor generalization of Wall's conjecture and interest about completely rational conformal nets in general, in this paper we show that there is a one-to-one correspondence between intermediate conformal nets in a pair of completely rational nets 𝒜 with finite index and certain class of fusion rings. As a consequence we show that our conjecture for the pair 𝒜 is reduced to a conjecture about fusion rings, and our result also gives a method of enumerating all intermediate conformal nets.

Funding source: NSF

Funding source: UCR

Award Identifier / Grant number: academic senate grant

Received: 2012-5-13
Revised: 2012-7-4
Published Online: 2012-9-29
Published in Print: 2014-7-1

© 2014 by Walter de Gruyter Berlin/Boston

Heruntergeladen am 16.4.2026 von https://www.degruyterbrill.com/document/doi/10.1515/crelle-2012-0075/html
Button zum nach oben scrollen