Relating branes and matrices

Details Relating branes and matrices Relating branes and matrices

2005-01-12

arxiv.org/abs/hep-th/0501086v1

JHEP 0508 (2005) 078

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex

Scientific paper

10.1088/1126-6708/2005/08/078

We construct a general map between a Dp-brane with magnetic flux and a matrix configuration of D0-branes, by showing how one can rewrite the boundary state of the Dp-brane in terms of its D0-brane constituents. This map gives a simple prescription for constructing the matrices of fuzzy spaces corresponding to branes of arbitrary shape and topology. Since we explicitly identify the D0-brane degrees of freedom on the brane, we also derive the D0-brane charge of the brane in a very direct way including the A-genus term. As a check on our formalism, we use our map to derive the abelian-Born-Infeld equations of motion from the action of the D0-brane matrices.

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