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

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 $(2\pi {\ell }_s{)}^2$.

33 pages, 3 figures, references added

References in corpus (1)

• Exact Description of D-branes via Tachyon Condensation

Cited by in corpus (11)

• Membrane topology and matrix regularization
• The shape of nonabelian D-branes
• Relating branes and matrices
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Gravitational Dielectric Effect and Myers Effect
• On membrane interactions and a three-dimensional analog of Riemann surfaces
• Fuzzy BIon
• Fuzzy Rings in D6-Branes and Magnetic Field Background
• BIon Configuration with Fuzzy $S^2$ Structure
• A note on non-commutative dynamics of spinning D0 branes
• Fuzzy BIons in Curved Spacetimes