2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221011The supersymmetry invariant integrable structure of two-dimensional superconformal field theory is considered. The classical limit of the corresponding infinite family of integrals of motion (IM) coincide with the family of IM of SUSY N=1 KdV hierarchy. The quantum version of the monodromy matrix, generating quantum IM, associated with the SUSY N=1 KdV is constructed via vertex operator representation of the quantum R-matrix. The possible applications to the perturbed superconformal models are discussed.LaTeX2e, elsart.cls, 11 pages, subm. to Physics Letters BHigh Energy Physics - TheoryQuantum AlgebraExactly Solvable and Integrable SystemsSuperconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex Operators and Yang-Baxter Equationtext