On effective actions of BPS branes and their higher derivative corrections

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 ${\alpha }^{\prime }$ 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 ${\alpha }^{\prime }$. 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.

arXiv comment26 pages, 2 figures, minor corrections,references added and version published in JHEP

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• More on closed string induced higher derivative interactions on D-branes
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• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
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• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
• On RR Couplings and Bulk Singularity Structures of Non-BPS Branes
• More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
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• S-dual Amplitude and D3-Brane Couplings
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• Highly Symmetric D-brane-Anti-D-brane Effective Actions
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• BCFW construction of the Veneziano Amplitude
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order ${\alpha }^{\prime }$ Corrections
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• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory
• On BPS World Volume, RR Couplings and their ${\alpha }^{\prime }$ Corrections in type IIB