On Non-Abelian Structure From Matrix Coordinates
arXiv:hep-th/0103262 · doi:10.1016/S0370-2693(01)00680-3
Abstract
We consider the matrix quantum mechanics of N D0-branes in the background of the 1-form RR field. It is observed that the transformations of matrix coordinates of D0-branes induce on the Abelian RR field symmetry transformations that are like those of non-Abelian gauge fields. The Lorentz-like equations of motion for matrix coordinates are derived. The field strengths appearing in the Lorentz-like equations transform in the adjoint representation of U(N) under symmetry transformations. A possible relation between D0-brane dynamics in RR background, and the semi-classical dynamics of charged particles in Yang-Mills background is mentioned.
12 pages, no figures, LaTeX. v2: typos fixed, to appear in Phys. Lett. B
Cited by in corpus (6)
- Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
- Black-Body Radiation Of Noncommutative Gauge Fields
- Recursive Relations For Processes With n Photons Of Noncommutative QED
- On The Interaction Of D0-Brane Bound States And RR Photons
- Strings In Baryons And Matrix Coordinates
- Coordinate/Field Duality in Gauge Theories: Emergence of Matrix Coordinates