spacetime dimension using the standard N= 4 superspace. The main idea of our approach
is a gluing together of two linear supermultiplets along their fermions. The functions defining
such a gluing obey a system of equations. Each solution of this system provides a new
supermultiplet, linear or nonlinear, modulo equivalence transformations. In such a way we
reproduce all known linear and nonlinear N= 4, d= 1 supermultiplets and propose some new …