Pregled bibliografske jedinice broj: 1076306
On Zhu's algebra and C2–algebra for symplectic fermion vertex algebra SF(d)+
On Zhu's algebra and C2–algebra for symplectic fermion vertex algebra SF(d)+ // Journal of algebra, 563 (2020), 376-403 doi:10.1016/j.jalgebra.2020.07.019 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1076306 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Zhu's algebra and C2–algebra for symplectic
fermion vertex algebra SF(d)+
Autori
Adamović, Dražen ; Čeperić, Ante
Izvornik
Journal of algebra (0021-8693) 563
(2020);
376-403
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Vertex algebra ; Zhu’s algebra ; Symplectic fermions
Sažetak
In this paper, we study the family of vertex operator algebras , known as symplectic fermions. This family is of a particular interest because these VOAs are irrational and -cofinite. We determine Zhu's algebra and show that the equality of dimensions of and the – algebra holds for (the case of was treated by T. Abe in [1]). We use these results to prove a conjecture by Y. Arike and K. Nagatomo ([8]) on the dimension of the space of one-point functions on .
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)
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
