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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Carpi, Sebastiano, 1970- (Autor), Kawahigashi, Yasuyuki (Autor), Longo, Roberto (Autor), Weiner, Mihály (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1213.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Carpi, Sebastiano,  |d 1970-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjF3M6tKMdMJCCHXJBHdXq 
245 1 0 |a From vertex operator algebras to conformal nets and back /  |c Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo, Mihály Weiner. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2018] 
264 4 |c ©2018 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 254, number 1213 
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500 |a "July 2018, volume 254, number 1213 (first of 5 numbers)." 
504 |a Includes bibliographical references (pages 81-85). 
505 0 |a 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. 
520 |a 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. 
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650 0 |a Vertex operator algebras. 
650 0 |a Conformal invariants. 
650 6 |a Algèbres d'opérateurs des sommets. 
650 6 |a Invariants conformes. 
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650 7 |a Conformal invariants  |2 fast 
650 7 |a Vertex operator algebras  |2 fast 
700 1 |a Kawahigashi, Yasuyuki,  |e author. 
700 1 |a Longo, Roberto,  |e author. 
700 1 |a Weiner, Mihály,  |e author. 
710 2 |a American Mathematical Society,  |e publisher. 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1213. 
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