A current algebra presentation of the Lusztig quantum affine algebra at root of unity is used to construct quantum vertex algebras V_{wp,τ}^ℓ(g) and a fully faithful functor from their level-ℓ modules to equivariant quasi-modules of the vertex algebra.
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Quantum affine vertex algebra at root of unity
A current algebra presentation of the Lusztig quantum affine algebra at root of unity is used to construct quantum vertex algebras V_{wp,τ}^ℓ(g) and a fully faithful functor from their level-ℓ modules to equivariant quasi-modules of the vertex algebra.