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- Title
Covariant field equations, gauge fields and conservation laws from Yang-Mills matrix models.
- Authors
Steinacker, Harold
- 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.
- Publication
Journal of High Energy Physics, 2009, Vol 2009, Issue 2, p044
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1088/1126-6708/2009/02/044