Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
Abstract
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.
Keywords
Cite
@article{arxiv.0812.3761,
title = {Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models},
author = {Harold Steinacker},
journal= {arXiv preprint arXiv:0812.3761},
year = {2010}
}
Comments
31 pages. V2: minor corrections, references added