Consistent Massive Colored Gravitons

TL;DR

This paper proposes a model where massive colored gravitons are generated through spontaneous symmetry breaking of an extended SL(2N,C) symmetry, resulting in a spectrum of massive matrix gravitons and a massless graviton.

Contribution

It introduces a novel framework for massive gravitons using symmetry breaking of an extended gauge group, leading to colored gravitons in the spectrum.

Findings

Spectrum includes two sets of massive matrix gravitons in SU(N) adjoint representation.

Model contains two singlet gravitons: one massive, one massless.

Action constructed as a four-form to ensure dynamical metric generation.

Abstract

A short review of the problems with the action for massive gravitons is presented. We show that consistency problems could be resolved by employing spontaneous symmetry breaking to give masses to gravitons. The idea is then generalized by enlarging the SL(2,C) symmetry to $SL(2N,C)x SL(2N,C) which is broken to $SL(2,C) spontaneously through a non-linear realization. The requirement that the space-time metric is generated dynamically forces the action constructed to be a four-form. It is shown that the spectrum of this model consists of two sets of massive matrix gravitons in the adjoint representation of SU(N) and thus are colored, as well as two singlets, one describing a massive graviton, the other being the familiar massless graviton.