# Super Kac-Moody 2-categories

**Authors:** Jonathan Brundan, Alexander P. Ellis

arXiv: 1701.04133 · 2018-12-17

## 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.

## Key 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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Source: https://tomesphere.com/paper/1701.04133