On Non-Abelian Structure From Matrix Coordinates
High Energy Physics - Theory
2009-11-07 v2 High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.hep-th/0103262,
title = {On Non-Abelian Structure From Matrix Coordinates},
author = {Amir H. Fatollahi},
journal= {arXiv preprint arXiv:hep-th/0103262},
year = {2009}
}
Comments
12 pages, no figures, LaTeX. v2: typos fixed, to appear in Phys. Lett. B