Naslov
Lie Superalgebras and Irreducibility of A_1^(1)-Modules at the Critical Level
(Lie Superalgebras and Irreducibility of A_1 ^(1)-Modules at the Critical Level)

Autori
Adamović, Dražen

Izvornik
Communications in Mathematical Physics (0010-3616) 270 (2007), 1; 141-161

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

Ključne riječi
Lie superalgebras; vertex algebras; affine Lie algebras; critical level; Wakimoto modules

Sažetak
We introduce the infinite-dimensional Lie superalgebra \mathcal{; ; A}; ; and construct a family of mappings from certain category of \mathcal{; ; A}; ; -modules to the category of A_1^(1)-modules of critical level. Using this approach, we prove the irreducibility of a family of A_1^(1)-modules at the critical level. As a consequence, we present a new proof of irreducibility of certain Wakimoto modules. We also give a natural realizations of irreducible quotients of relaxed Verma modules and calculate characters of these representations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

POVEZANOST RADA