Quantum Gravity and String Theory

    

Super-Clifford Gravity, Higher Spins, Generalized Supergeometry and much more

Authors: Carlos Castro

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 metrics and biconnections. In one particular case it allows a plausible mechanism to cancel 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.

Comments: 18 Pages. submitted to Advances in Applied Clifford algebras

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Submission history

[v1] 2013-08-11 07:43:56
[v2] 2013-08-18 20:13:17

Unique-IP document downloads: 674 times

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