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On non-Abelian structure from matrix coordinates

机译:On non-Abelian structure from matrix coordinates

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摘要

We consider the matrix quantum mechanics of N D0-branes in the background of the I-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 Lr(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. (C) 2001 Published by Elsevier Science B.V. [References: 49]

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