Super Kac-Moody 2-categories
Jonathan Brundan, Alexander P. Ellis
TL;DR
This paper generalizes Kac-Moody 2-categories by incorporating quiver Hecke superalgebras, extending the algebraic framework to include superalgebra structures.
Contribution
It introduces a new class of Kac-Moody 2-categories replacing traditional quiver Hecke algebras with superalgebra variants.
Findings
Defined super Kac-Moody 2-categories
Established their algebraic properties
Connected to existing categorification frameworks
Abstract
We introduce generalizations of Kac-Moody 2-categories in which the quiver Hecke algebras of Khovanov, Lauda and Rouquier are replaced by the quiver Hecke superalgebras of Kang, Kashiwara and Tsuchioka.
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