Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-24
Nucl.Phys. B675 (2003) 241-269
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 3 figures, references added
Scientific paper
10.1016/j.nuclphysb.2003.09.056
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 $(2\pi\ell_s)^2$.
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