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On Non-Abelian Structure From Matrix Coordinates

Amir H. Fatollahi
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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.

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Amir H. Fatollahi. 2001-05-30. On Non-Abelian Structure From Matrix Coordinates. https://doi.org/10.1016/s0370-2693(01)00680-3

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