Abstract
We calculate in detail the disk level S-matrix element of one Ramond-Ramond field and three gauge field vertex operators in the world volume of BPS branes, to find four gauge field couplings to all orders of α′ up to on-shell ambiguity. Then using these infinite couplings we find that the massless pole of the field theory amplitude is exactly equal to the massless pole S-matrix element of this amplitude for the p = n case to all orders of α′. Finally we show that the infinite massless poles and the contact terms of this amplitude for the p = n + 2 case can be reproduced by the Born-Infeld action and the Wess-Zumino actions, and by their higher derivative corrections.
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ArXiv ePrint: 1003.0314
On leave of Ferdowsi University of Mashhad, School of Physics, Institute for research in fundamental sciences (IPM), P.O.Box 19395-5531, Tehran, Iran. (Ehsan Hatefi)
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Hatefi, E. On effective actions of BPS branes and their higher derivative corrections. J. High Energ. Phys. 2010, 80 (2010). https://doi.org/10.1007/JHEP05(2010)080
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DOI: https://doi.org/10.1007/JHEP05(2010)080