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arXiv · hep-th/0302190

Notes on the Construction of the D2-brane from Multiple D0-branes

Yoshifumi Hyakutake
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Abstract

We investigate the correspondence between the D2-brane, which is described by the abelian Born-Infeld action, and multiple D0-branes, which are done by the nonabelian Born-Infeld action. We construct effective actions for the fuzzy cylinder, sphere and plane formed via D0-branes and compare these actions with those for the cylindrical, spherical and planar D2-brane. We show that in the continuous limit, the effective actions for the fuzzy D0-branes precisely coincide with those for the single D2-brane if both the fuzziness of the D0-brane and the area occupied per a unit of magnetic flux on the D2-brane are equal to $(2π\ell_s)^2$.

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Yoshifumi Hyakutake. 2003-12-27. Notes on the Construction of the D2-brane from Multiple D0-branes. https://doi.org/10.1016/j.nuclphysb.2003.09.056

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