Affine and cyclotomic Brauer categorification via $ı$-Kac--Moody $2$-categories: the half-integral type $\mathrm{AIII}$ case

Mengmeng Gao, Hebing Rui, Linliang Song

Cyclotomic Brauer or cyclotomic Nazarov--Wenzl algebras arise in higher Schur--Weyl dualities involving parabolic categories $\mathcal{O}$ for Lie algebras of types $B,C$ and $D$. T…