Higher-level degenerate spin affine Hecke superalgebras

We define a new class of superalgebras, called higher-level degenerate spin affine Hecke superalgebras, and study their structure theory. We establish an isomorphism that relates the higher-level degenerate spin affine Hecke superalgebras to the higher-level degenerate affine Hecke-Clifford superalgebras. The relationship between these superalgebras is a higher-level analogue of the relationship between the degenerate spin affine Hecke superalgebras and degenerate affine Hecke-Clifford superalgebras.