Yang-Baxter R-operators for osp superalgebras

We study Yang-Baxter equations with orthosymplectic supersymmetry. extend a new approach of the construction spinor and metaplectic $\hat{\cal R}$-operators orthogonal symplectic symmetries to supersymmetric case symmetry. In this R}$-operator is given by ratio two operator valued Euler Gamma-functions. illustrate calculating such R}$ operators in explicit form for special cases $osp(n|2m)$ algebra, particular few low-rank cases. also propose novel, simpler more elegant, derivation Shankar-Witten type formula $osp$ invariant demonstrate equivalence previous one general under action algebra.