Abstract
We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than four dimensions, an gauge theory on a Moyal-Weyl space arises with all matter and fields in the adjoint of the gauge group. We show how this gauge symmetry can be broken spontaneously down to [resp. ], which couples appropriately to all fields in the standard model. An additional gauge group arises which is anomalous at low energies, while the trace- sector is understood in terms of emergent gravity. A number of additional fields arise, which we assume to be massive, in a pattern that is reminiscent of supersymmetry. The symmetry breaking might arise via spontaneously generated fuzzy spheres, in which case the mechanism is similar to brane constructions in string theory.
- Received 25 January 2010
DOI:https://doi.org/10.1103/PhysRevD.81.085034
©2010 American Physical Society