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

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

2008-12-19

arxiv.org/abs/0812.3761v2

JHEP 0902:044,2009

Physics

High Energy Physics

High Energy Physics - Theory

31 pages. V2: minor corrections, references added

Scientific paper

10.1088/1126-6708/2009/02/044

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.

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