The fermionic Spencer group H^{1,2} of the D=11 Poincaré superalgebra is the spinor representation S, and generic timelike odd filtered deformations are necessarily first-order.
Figueroa-O’Farrill and A
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Fermionic Spencer Cohomologies of D=11 Supergravity
The fermionic Spencer group H^{1,2} of the D=11 Poincaré superalgebra is the spinor representation S, and generic timelike odd filtered deformations are necessarily first-order.