Twisted affine Lie superalgebra of type Q and quantization of its enveloping superalgebra

We introduce a new quantum group which is a quantization of the enveloping superalgebra of a twisted affine Lie superalgebra of type Q. We study generators and relations for superalgebras in the finite and twisted affine cases, and also universal central extensions. Afterwards, we apply the FRT formalism to a certain solution of the quantum Yang–Baxter equation to define that new quantum group and we study some of its properties. We construct a functor of Schur–Weyl type which connects it to affine Hecke–Clifford algebras and prove that it provides an equivalence between two categories of modules.