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$Q\widetilde{Q}$-systems for twisted quantum affine algebras (2204.08773v1)
Published 19 Apr 2022 in math.RT, hep-th, and math.QA
Abstract: We establish the $Q \widetilde{Q}$-systems for the twisted quantum affine algebras that were conjectured in arXiv:1606.05301. We develop the representation theory of Borel subalgebra of twisted quantum affine algebras and we construct their prefundamental representations. We also propose a general conjecture on the relations between twisted and non-twisted types. We prove this conjecture for some particular classes of representations, including prefundamental representations.