Affine supersymmetric pairs

Abstract

We classify Satake diagrams for general linear and orthosymplectic non-twisted affine Lie superalgebras and prove that each of them generates a family of proper spherical subalgebras. Furthermore, we demonstrate that every such family contains subalgebras with matrix invariants, which are viewed as classical analogs of K-matrices solving supersymmetric Reflection equation.

54 pages. A few mistakes corrected. Definition of regular subalgebras extended and the Subsection 3.1 revised