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Simple modules for Affine vertex algebras in the minimal nilpotent orbit by Futorny, Vyacheslav; Morales, Oscar Armando Hernandez; Ramirez, Luis Enrique is a scholarly article available to read on EtoBox.

What is Simple modules for Affine vertex algebras in the minimal nilpotent orbit about?

We explicitly construct, in terms of Gelfand--Tsetlin tableaux, a new family of simple positive energy representations for the simple affine vertex algebra V_k(sl_{n+1}) in the minimal nilpotent orbit of sl_{n+1}. These representations are quotients of induced modules over the affine Kac-Moody algebra of sl_n+1 and include in particular all admissible simple highest weight modules and all simple modules induced from sl_2. Any such simple module in the minimal nilpotent orbit has bounded weight multiplicities.

Author

Futorny, Vyacheslav; Morales, Oscar Armando Hernandez; Ramirez, Luis Enrique

Published

2020

Language

EN