Pregled bibliografske jedinice broj: 1015145
On fusion rules and intertwining operators for the Weyl vertex algebra
On fusion rules and intertwining operators for the Weyl vertex algebra // Journal of mathematical physics, 60 (2019), 8; 081701, 18 doi:10.1063/1.5098128 (međunarodna recenzija, članak, znanstveni)
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Naslov
On fusion rules and intertwining operators for the
Weyl vertex algebra
Autori
Adamović, Dražen ; Pedić, Veronika
Izvornik
Journal of mathematical physics (0022-2488) 60
(2019), 8;
081701, 18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
vertex algebra ; Weyl vertex algebra ; fusion rules ; intertwining operators
Sažetak
In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, we confirm the conjecture on fusion rules based on the Verlinde formula. We explicitly construct intertwining operators appearing in the formula for fusion rules. We present a result which relates irreducible weight modules for the Weyl vertex algebra to the irreducible modules for the affine Lie superalgebra gl(1|1).
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
POVEZANOST RADA
Projekti:
ZCI QuantiXLie
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, 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