Super-Clifford Gravity, Higher Spins, Generalized Supergeometry and much more Carlos Castro August 2013 Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta; perelmanc@hotmail.com Abstract An extended Orthogonal-Symplectic Clifford Algebraic formalism is developed which allows the novel construction of a graded Clifford gauge field theory of gravity. It has a direct relationship to higher spin gauge fields, bimetric gravity, antisymmetric met- rics and biconnections. In one particular case it allows a plausible mechanism to can- cel the cosmological constant contribution to the action. The possibility of embedding these Orthogonal-Symplectic Clifford algebras into an infinite dimensional algebra, coined Super-Clifford Algebra is described. Finally, some physical applications of the geometry of Super-Clifford spaces to Generalized Supergeometries, Double Field Theories, U -duality, 11D supergravity, M -theory, and E 7 ,E 8 ,E 11 algebras are outlined. Keywords : Super-Clifford algebras; orthogonal Clifford algebras; symplectic Clifford algebras; supersymmetry; Higher spins; Bimetric gravity; Biconnections; Antisymmet- ric metrics; Cosmological constant; Super Clifford spaces; Generalized Super Geometry; Exceptional algebras. PACS : 1 Orthogonal-Symplectic Clifford Algebras In the past years it has become more clear that extensions and/or generalizations of su- persymmetry are needed. Clifford algebras are essential ingredients to attain such goals. A classification of Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of M -theory was attained in [12], including the 12-dim Euclidean gen- eralized supersymmetric F algebra and the 11-dim M theory superalgebra. 1