Super-Clifford Gravity, Higher Spins, Generalized Supergeometry and Much More

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 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 E7, E8, E11 algebras are outlined. © 2013 Springer Basel.

Año de publicación:

2014

Keywords:

• orthogonal Clifford algebras
• Bimetric gravity
• Higher spins
• Super-Clifford algebras
• supersymmetry
• Cosmological constant
• Generalized Super Geometry
• Antisymmetric metrics
• Exceptional Algebras
• Biconnections
• Super Clifford spaces
• symplectic Clifford algebras

Fuente:

scopus