| Description |
1 online resource (vi, 85 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 254, number 1213 |
|
Memoirs of the American Mathematical Society ; no. 1213.
|
| 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 |
| Summary |
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_V acting on the Hilbert space completion of V and prove that the isomorphism class of \mathcal A_V does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, f |
| Notes |
"July 2018, volume 254, number 1213 (first of 5 numbers)." |
| Bibliography |
Includes bibliographical references (pages 81-85) |
| Notes |
Print version record |
| Subject |
Vertex operator algebras.
|
|
Conformal invariants.
|
|
MATHEMATICS -- Algebra -- Intermediate.
|
|
Conformal invariants
|
|
Vertex operator algebras
|
| Form |
Electronic book
|
| Author |
Kawahigashi, Yasuyuki, author.
|
|
Longo, Roberto, author.
|
|
Weiner, Mihály, author
|
|
American Mathematical Society, publisher
|
| ISBN |
1470447428 |
|
9781470447427 |
|
