Matrix Gravity and Massive Colored Gravitons

Abstract

We formulate a theory of gravity with a matrix-valued complex vierbein based on the SL(2N,C)xSL(2N,C) gauge symmetry. The theory is metric independent, and before symmetry breaking all fields are massless. The symmetry is broken spontaneously and all gravitons corresponding to the broken generators acquire masses. If the symmetry is broken to SL(2,C) then the spectrum would correspond to one massless graviton coupled to $2N^2-1$ massive gravitons. A novel feature is the way the fields corresponding to non-compact generators acquire kinetic energies with correct signs. Equally surprising is the way Yang-Mills gauge fields acquire their correct kinetic energies through the coupling to the non-dynamical antisymmetric components of the vierbeins.

arXiv commentOne reference added

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Effective Lagrangians and Universality Classes of Nonlinear Bigravity
• SL(2,C) Gravity with Complex Vierbein and Its Noncommutative Extension
• Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators
• Matrix General Relativity: A New Look at Old Problems
• Spontaneous Symmetry Breaking for Massive Spin-2 Interacting with Gravity
• A Noncommutative Deformation of General Relativity

Cited by in corpus (6)

• Graviweak Unification
• Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators
• Aspects of Infrared Modifications of Gravity
• Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
• Poincaré gauge gravity: an emergent scenario
• Consistent Massive Colored Gravitons