Pregled bibliografske jedinice broj: 1103105
Conformal embeddings and the representation theory of affine vertex algebras at negative integer levels
Conformal embeddings and the representation theory of affine vertex algebras at negative integer levels // Colloquim talk at School of Mathematical Sciences, Shanghai JiaoTong University
Šangaj, Kina, 2017. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1103105 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Conformal embeddings and the representation theory
of affine vertex algebras at negative integer levels
Autori
Adamović, Dražen ; Kac, Victor G. ; Möseneder Frajria, Pierluigi ; Papi, Paolo ; Perše, Ozren
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Colloquim talk at School of Mathematical Sciences, Shanghai JiaoTong University
Mjesto i datum
Šangaj, Kina, 02.11.2017
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
conformal embeddings, affine vertex algebras ; decompositions
Sažetak
We study the problem of conformal embeddings of affine vertex operator algebras in $W$-algebras. We present a result on the classification of conformal embeddings of affine vertex algebras into minimal affine W-algebras and study some related problems. We will show that the corresponding branching rules are related to the representation theory of affine vertex algebras at negative levels and their fusion rules. New simple current modules and simple current extensions will be constructed. We also present explicit realizations of certain affine VOAs and W-algebras related with constructions in logarithmic vertex algebras. (This talk is based on joint papers with V. G. Kac, P. Moseneder Frajria, P. Papi and O. Perse)
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
