Notes on Branes in Matrix Theory

Details Notes on Branes in Matrix Theory Notes on Branes in Matrix Theory

1997-06-26

arxiv.org/abs/hep-th/9706196v3

Nucl.Phys. B510 (1998) 199-216

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX file. Minor typo corrections

Scientific paper

10.1016/S0550-3213(97)00637-8

We study the effective actions of various brane configurations in Matrix theory. Starting from the 0+1 dimensional quantum mechanics, we replace coordinate matrices by covariant derivatives in the large N limit, thereby obtaining effective field theories on the brane world volumes. Even for noncompact branes, these effective theories are of Yang-Mills type, with constant background magnetic fields. In the case of a D2-brane, we show explicitly how the effective action equals the large magnetic field limit of the Born-Infeld action, and thus derive from Matrix theory the action used by Polchinski and Pouliot to compute M-momentum transfer between membranes. We also consider the effect of compactifying transverse directions. Finally, we analyze a scattering process involving a recently proposed background representing a classically stable D6+D0 brane configuration. We compute the potential between this configuration and a D0-brane, and show that the result agrees with supergravity.

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