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Paper   IPM / Physic / 6814
School of Physics
  Title:   Dirac-Born-Infeld Action, Sieberg-Witten Map, and Wilson Lines
  Author(s):  M.R. Garousi
  Status:   Published
  Journal: Nucl. Phys. B
  No.:  40
  Vol.:  611
  Year:  2001
  Pages:   467-487
  Supported by:  IPM
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 D9-brane action to the action for Dp-brane by transforming it under T-duality. Using this non-commutative Dp-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.

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