Relating branes and matrices

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.

28 pages, Latex

References in corpus (2)

• Fuzzy spaces, the M(atrix) model and the quantum Hall effect
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action

Cited by in corpus (10)

• ADHM is Tachyon Condensation
• Stringy Derivation of Nahm Construction of Monopoles
• Noncommutativity and Tachyon Condensation
• Geometry from Matrices via D-branes
• Supertubes in Matrix model and DBI action
• Diffeomorphisms on Fuzzy Sphere
• Emergent geometry of membranes
• Spherical D-brane by Tachyon Condensation
• Boundary state of multiple D0-branes and closed string coupling
• Dissolving D0-brane into D2-brane with background B-field