Pregled bibliografske jedinice broj: 483225
On W-Algebras Associated to (2, p) Minimal Models and Their Representations
On W-Algebras Associated to (2, p) Minimal Models and Their Representations // International Mathematics Research Notices, 2010 (2010), 20; 3896-3934 doi:10.1093/imrn/rnq016 (međunarodna recenzija, članak, znanstveni)
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Naslov
On W-Algebras Associated to (2, p) Minimal Models and Their Representations
Autori
Adamović, Dražen ; Milas, Antun
Izvornik
International Mathematics Research Notices (1073-7928) 2010
(2010), 20;
3896-3934
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
W-algebras; minimal models; C_2 cofinitenes; logarithmic conformal field theory
Sažetak
For every odd p \geq 3, we investigate representation theory of the vertex algebra W_{; ; ; 2, p}; ; ; associated to (2, p) minimal models for the Virasoro algebras. We demonstrate that vertex algebras W_{; ; ; 2, p}; ; ; are C_2--cofinite and irrational. Complete classification of irreducible representations for W_{; ; ; 2, 3}; ; ; is obtained, while the classification for p \geq 5 is subject to certain constant term identities. These identities can be viewed as "logarithmic deformations" of Dyson and Selberg constant term identities, and are of independent interest.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Primc, Mirko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Scopus
