Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models

Autor(en)

Harold Steinacker

Abstrakt

The effective geometry and the gravitational coupling of nonabelian gauge and scalar fields on generic NC branes in Yang-Mills matrix models is determined. Covariant field equations are derived from the basic matrix equations of motions, known as Yang-Mills algebra. Remarkably, the equations of motion for the Poisson structure and for the nonabelian gauge fields follow from a matrix Noether theorem, and are therefore protected from quantum corrections. This provides a transparent derivation and generalization of the effective action governing the SU(n) gauge fields obtained in [1], including the would-be topological term. In particular, the IKKT matrix model is capable of describing 4-dimensional NC space-times with a general effective metric. Metric deformations of flat Moyal-Weyl space are briefly discussed.

Organisation(en)

Mathematische Physik

Journal

Journal of High Energy Physics

Band

2009

Anzahl der Seiten

33

ISSN

1029-8479

DOI

https://doi.org/10.1088/1126-6708/2009/02/044

Publikationsdatum

2009

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7e0a8dbb-6151-4280-ab9a-6954323bbda7