2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161760The text contains introduction and preliminary definitions and results to my talk on category theory description of supersymmetries and integrability in string theory. In the talk I plan to present homological and homotopical algebra framework for Calabi-Yau supermanifolds and stacks in open and closed string theory. In the framework we investigate supersymmetries and integrability.11 pagesHigh Energy Physics - Theorytext