Twisted tensor products of quantum affine vertex algebras and coproducts

Let g be a symmetrizable Kac-Moody Lie algebra, and let V ₆, ^, L ₆, ^ be the quantum affine vertex algebras constructed in 11. For any complex numbers and ', we present an -adic quantum vertex algebra homomorphism from V ₆, ^+' to the twisted tensor product -adic quantum vertex algebra V ₆, ^ V ₆, ^'. In addition, if both and ' are positive integers, we show that induces an -adic quantum vertex algebra homomorphism from L ₆, ^+' to the twisted tensor product -adic quantum vertex algebra L ₆, ^ L ₆, ^'. Moreover, we prove the coassociativity of.