From vertex operator algebras to conformal nets and back /

The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net \mathcal A...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Carpi, Sebastiano, 1970- (Author), Kawahigashi, Yasuyuki (Author), Longo, Roberto (Author), Weiner, Mihály (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1213.
Subjects:
Vertex operator algebras.
Conformal invariants.
Algèbres d'opérateurs des sommets.
Invariants conformes.
MATHEMATICS > Algebra > Intermediate.
Conformal invariants
Vertex operator algebras
Online Access:Texto completo
Table of Contents:
  • Introduction
  • Preliminaries on von Neumann algebras
  • Preliminaries on conformal nets
  • Preliminaries on vertex algebras
  • Unitary vertex operator algebras
  • Energy bounds and strongly local vertex operator algebras
  • Covariant subnets and unitary subalgebras
  • Criteria for strong locality and examples
  • Back to vertex operators
  • Appendix A. Vertex algebra locality and Wightman locality
  • Appendix B. On the Bisognano-Wichmann property for representations of the Möbius group
  • Acknowledgments
  • Bibliography.

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