On indecomposable and logarithmic modules for affine vertex operator algebras (CROSBI ID 698428)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen
engleski
On indecomposable and logarithmic modules for affine vertex operator algebras
Admissible affine vertex operator algebras $V_{; ; k}; ; (\mathfrak g)$ are semi-simple in the category $\mathcal O$. In this talk, we shall first present a complete reducibility result for a large class of simple affine vertex operator algebras $V_{; ; k}; ; (\mathfrak g)$ at non-admissible levels (joint work with Kac, Moseneder-Frajria, Papi and Perse). Then we shall consider $V_{; ; k}; ; (\mathfrak g)$--modules outside of the category $\mathcal O$. Logarithmic modules appear in the non-split extension of certain weight modules. Although $V_{; ; k}; ; (\mathfrak g)$--modules are modules for the affine Lie algebras, it is difficult to construct indecomposable and logarithmic modules using concepts from the representation theory of Lie algebras. We will show how these modules can be explicitly constructed using vertex-algebraic techniques. We will also show that certain Whittaker modules are also weak $V_{; ; k}; ; (\mathfrak g)$--modules.
Affine vertex algebras ; complete reducibility, logarithmic modules
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Podaci o prilogu
1-1.
2018.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
Vertex Operator Algebras, Number Theory and Related Topics
pozvano predavanje
11.06.2018-15.06.2018
Sacramento (CA), Sjedinjene Američke Države