Naslov
βγ 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
Conference on vertex algebras and related topics

Mjesto i datum
Darmstadt, Njemačka, 21.09.2021. - 24.09.2021

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra

Sažetak
The bosonic ghost vertex algebra (beta-gamma ghosts) 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 beta-gamma 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 beta-gamma 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