Noncommutative gauge theory and symmetry breaking in matrix models

Autor(en)

Harald Grosse, Fedele Lizzi, Harold Steinacker

Abstrakt

We show how the fields and particles of the standard model can be naturally realized in non-commutative gauge theory. Starting with a Yang-Mills matrix model in more than four dimensions, an SU(n) 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 SU(3)(c) x SU(2)(L) x U(1)(Q) [resp. SU(3)(c) x U(1)(Q)], which couples appropriately to all fields in the standard model. An additional U(1)(B) gauge group arises which is anomalous at low energies, while the trace-U(1) 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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Università degli studi di Napoli Federico II

Journal

Physical Review D

Band

81

Anzahl der Seiten

12

ISSN

1550-7998

DOI

https://doi.org/10.1103/PhysRevD.81.085034

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/aedbc7fb-7bbf-4aed-9a1e-965a78028ec6