2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213466The double-spinor formalism, proposed by Aisaka and Kazama, provides a basis for the pure-spinor formalism, which allows manifestly super-Poincare covariant quantization of superstrings. We extend it to the case of backgrounds realized by coset superspaces. A general method constructing reparametrization invariant action is given using two concrete examples, the flat space-time and AdS(5)xS(5). We find that it is natural to double not only the spinor coordinates but the whole superspace for describing double-spinor superstrings on such backgrounds. The reparametrization invariant action has local symmetries compensating those extra degrees of freedom, which guarantee the equivalence to the Green-Schwarz formalism.14pages, no figure, PTPTeX; v2, references added; v3, english is improved, version appeared in PTP; v4, a reference addedHigh Energy Physics - Theorytext