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In a previous work, it was shown that the 8-dimensional topological quantumfield theory for a metric and a Kalb-Ramond 2-form gauge field determines N = 1D = 8 supergravity. It is shown here that, the combination of this TQFT withthat of a 3-form determines N = 2 D = 8 supergravity, that is, an untruncateddimensional reduction of N = 1 D = 11 supergravity. Our construction holds for8-dimensional manifolds with Spin(7) \subset SO(8) holonomy. We suggest thatthe origin of local Poincare supersymmetry is the gravitational topologicalsymmetry. We indicate a mechanism for the lift of the TQFT in higherdimensions, which generates Chern-Simons couplings.Comment: one section has been adde

Gravitational Topological Quantum Field Theory VersusN= 2D= 8 Supergravity and its lift toN= 1D= 11 Supergravity