Pregled bibliografske jedinice broj: 1156450
Bershadsky-Polyakov vertex algebras at positive integer levels and duality
Bershadsky-Polyakov vertex algebras at positive integer levels and duality // Transformation groups (2022) doi:10.1007/s00031-022-09721-z (znanstveni, online first)
CROSBI ID: 1156450 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Bershadsky-Polyakov vertex algebras at positive
integer levels and duality
Autori
Adamović, Dražen ; Kontrec, Ana
Vrsta, podvrsta
Radovi u časopisima,
znanstveni
Izvornik
Transformation groups (2022)
Status rada
Online first
Ključne riječi
Vertex algebra ; W-algebras ; Bershadsky–Polyakov algebra ; Zhu’s algebra
Sažetak
We study the simple Bershadsky-Polyakov algebra W_k=W_k(sl_3, f_θ) at positive integer levels and classify their irreducible modules. In this way we confirm the conjecture from our previous paper. Next, we study the case k=1. We discover that this vertex algebra has a Kazama-Suzuki-type dual isomorphic to the simple affine vertex superalgebra L_k'(osp(1, 2)) for k'=-5/4. Using a free-field realization of L_k'(osp(1, 2)), we get a free-field realization of W_k and their highest weight modules. In a sequel, we plan to study fusion rules for W_k.
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
