Naslov
Beta-gamma ghosts: Whittaker modules and fusion rules

Autori
Adamović, Dražen ; Lam, Ching Hung ; Pedić, Veronika ; Yu, Nina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
ISU Algebra Seminar

Mjesto i datum
Normal (IL), Sjedinjene Američke Države, 05.11.2020

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Vertex algebras, vertex operator algebras, vertex algebra modules, Whittaker modules, Lie algebras, irreducible, cyclic orbifold, fusion rules, intertwining operators, Lie superalgebras

Sažetak
Bosonic ghost vertex algebra (beta-gamma ghost) is an important object both in physics (string theory) and in mathematics (representation theory), arising as a module for the Weyl associative algebra. In this talk we give some information on betagamma ghosts and their modules. In particular, in the first part we prove that irreducible modules of a VOA are also irreducible for orbifolds under some conditions and demonstrate this on the example of Whittaker modules for bosonic ghosts. In the second part, we describe fusion rules in the category of weight modules for the betagamma ghost and explicitly construct the associated intertwining operators. This talk is based on two papers, first one joint with D. Adamovic, C.-H. Lam and N. Yu, and the second one with D. Adamovic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA