Nuclear Physics B, ( ISI ), Year (2001-8)

Title : Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines ( Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines )

Authors: Mohammad Reza Garousi ,

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We write the recently conjectured action for transformation of the ordinary Born-Infeld action under the Seiberg-Witten map with one open Wilson contour in a manifestly non-commutative gauge invariant form. This action contains the non-constant closed string fields, higher order derivatives of the non-commutative gauge fields through the $*_N$-product, and a Wilson operator. We extend this non-commutative $D_9$-brane action to the action for $D_p$-brane by transforming it under T-duality. Using this non-commutative $D_p$-brane action we then evaluate the linear couplings of the graviton and dilaton to the brane for arbitrary non-commutative parameters. By taking the Seiberg-Witten limit we show that they reduce exactly to the known results of the energy-momentum tensor of the non-commutative super Yang-Mills theory. We take this as an evidence that the non-commutative action in the Seiberg-Witten limit includes properly all derivative correction terms.

Keywords

Wilson
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@article{paperid:320,
author = {Garousi, Mohammad Reza},
title = {Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines},
journal = {Nuclear Physics B},
year = {2001},
month = {August},
issn = {0550-3213},
keywords = {Wilson lines},
}

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%0 Journal Article
%T Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
%A Garousi, Mohammad Reza
%J Nuclear Physics B
%@ 0550-3213
%D 2001

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