On the representation theory of affine vertex algebras at collapsing level (CROSBI ID 698419)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen ; Kac, Victor G. ; Möseneder Frajria, Pierluigi ; Papi, Paolo ; Perše, Ozren
engleski
On the representation theory of affine vertex algebras at collapsing level
In the first part of the talk we recall recent results on affine vertex algebras and minimal affine W-algebras. A level k is called collapsing when the simple minimal affine W-algebra at level k associated with simple Lie superalgebra is isomorphic to its affine vertex subalgebra. We present a proof of complete reducibility of affine vertex algebras at these levels which uses the representation theory of affine algebras and concepts in conformal embeddings (joint project with V. Kac, P. Moseneder-Frajria, P. Papi and O. Perˇse). The existence of indecomposable and logarithmic modules will be also discussed.
affine vertex algebra ; W-algebra ; collapsing levels
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Podaci o prilogu
2-2.
2019.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
Mini-workshop: Vertex Algebras in Mathematics and Physics
pozvano predavanje
13.04.2019-14.04.2019
Albany (NY), Sjedinjene Američke Države