Naslov
Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases 𝑠𝑙(2)ˆ and 𝑜𝑠𝑝(1, 2)^
(Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases {;;;widehat{;;;sl(2)};;;};;; s l ( 2 ) ^ and {;;;widehat{;;;osp(1, 2)};;;};;; o s p ( 1 , 2 ) ^)

Autori
Adamović, Dražen

Izvornik
Communications in mathematical physics (0010-3616) 366 (2019), 3; 1025-1067

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Affine vertex algebras ; realizations ; relaxed modules ; Whittaker modules

Sažetak
We study the embeddings of the simple admissible affine vertex algebras 𝑉_𝑘(𝑠𝑙(2))$ and 𝑉𝑘(𝑜𝑠𝑝(1, 2)) , 𝑘∉ℤ≥0 , into the tensor product of rational Virasoro and N = 1 Neveu–Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, logarithmic, and Whittaker 𝑠𝑙(2)ˆ and 𝑜𝑠𝑝(1, 2)ˆ -modules. As an application, we construct all irreducible degenerate Whittaker modules for 𝑉𝑘(𝑠𝑙(2)) .

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA