TL;DR
This paper establishes a general method to relate Dp-branes with magnetic flux to matrix configurations of D0-branes, enabling the construction of fuzzy space representations of arbitrary brane shapes and topologies.
Contribution
It introduces a novel map between Dp-branes and D0-brane matrices, allowing explicit construction of fuzzy spaces and direct calculation of D0-brane charge, including topological terms.
Findings
Derived the D0-brane charge including A-genus term.
Provided a prescription for constructing fuzzy space matrices.
Validated the formalism by deriving BI equations of motion.
Abstract
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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