3 papers
hep-th2024
Weak supersymmetry and superconformal indices
Vyacheslav P. Spiridonov
One-dimensional quantum mechanical models obeying Smilga's weak supersymmetry are described in the matrix form. They are related to the parasupersymmetric and higher-order derivati…
hep-th2024
Variations of supersymmetric quantum mechanics and superconformal indices
Vyacheslav P. Spiridonov
Old studies on supersymmetric quantum mechanics and its deformations, that were initiated by the 1988 joint paper with V. Rubakov, are retrospectively discussed. In the modern circ…
math.CA2024
An extended scheme of classical special functions
Vyacheslav P. Spiridonov
A unifying scheme of classical special functions of hypergeometric type obeying orthogonality or biorthogonality relations is described. It expands the Askey scheme of classical or…