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Notes on branes in matrix theory

Keski-Vakkuri, Esko and Kraus, Per (1998) Notes on branes in matrix theory. Nuclear Physics B, 510 (1-2). pp. 199-216. ISSN 0550-3213. doi:10.1016/S0550-3213(98)81010-9.

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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 non-compact 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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Additional Information:© 1998 Elsevier B.V. Received 28 July 1997, Accepted 22 September 1997. Work supported in part by a DOE grant DE-FG03-92-ER40701. Work supported in part by a DOE grant DE-FG03-92-ER40701 and by a DuBridge Fellowship.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Lee A. DuBridge FoundationUNSPECIFIED
Subject Keywords:Matrix model; Field theory; M-theory; Membrane model; D-brane; Fluctuation
Issue or Number:1-2
Classification Code:PACS: 11.25.-w; 11.15.-q; 11.10.Kk
Record Number:CaltechAUTHORS:20170816-141422135
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Official Citation:Esko Keski-Vakkuri, Per Kraus, Notes on branes in matrix theory, Nuclear Physics B, Volume 510, Issues 1–2, 19 January 1998, Pages 199-216, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80497
Deposited By: Tony Diaz
Deposited On:16 Aug 2017 21:22
Last Modified:15 Nov 2021 19:36

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