2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183192We will discuss some properties of the pure spinor string on the AdS_5 x S_5 background. Using the classical Hamiltonian analysis we will show that the vertex operator for the massless state that is in the cohomology of the BRST charges describes on-shell fluctuations around AdS_5 x S_5 background.26. pages, added references, v2:corrected typosHigh Energy Physics - Theorytext