Naslov
On Wakimoto and Whittaker modules for affine vertex operator algebras

Autori
Adamović, Dražen

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

Skup
Seminar at School of Mathematics, Xiamen University

Mjesto i datum
Xiamen, Kina, 27.10.2017

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Wakimoto modules ; Whittaker modules

Sažetak
We study the problem of a classification of irreducible modules for affine Lie algebras in certain categories. We shall first present the definition of the Wakimoto and the Whittaker modules for affine Lie algebras and show that they are naturally modules for universal affine vertex operator algebras. We present a classification result for untwisted Wakimoto modules for $A_1 ^{; ; (1)}; ; $ at the critical level. Next, we shall discuss the classification of irreducible Wakimoto modules in principal graduation for the affine Lie algebras (obtained in a joint work with N. Jing and K. Misra) and give some combinatorial applications. The classification of Whittaker modules for $A_1 ^{; ; (1)}; ; $ will be also presented (joint work with K. Zhao and R. Lu). As an application, we will show that the concept of Whittaker modules can be used to construct self-dual modules for the Heisenberg- Virasoro vertex algebras.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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