2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96102We derive the equations of motion of type II 4D supergravity in superspace. This is achieved by coupling the Type II Berkovits' hybrid superstring to an N=2 curved background and requiring that the sigma-model has N=(2,2) superconformal invariance at one loop. We show that there are no anomalies in the fermionic OPE's and the complete set of compensator's equations is derived from the energy-momentum tensor. The equations of motion describe a hypertensorial and vectorial multiplet coupled to a U(1)\times U(1) N=2 Poincarè Supergravity.13 pages, revtex4. Based on work presented at 4th International Winter Conference on Mathematical Methods in Physics (WC 2004), Rio de Janeiro, Brazil, 9-13 Aug 2004High Energy Physics - Theorytext