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.

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

References in corpus (5)

• On Wess-Zumino terms of Brane-Antibrane systems
• More on WZ action of non-BPS branes
• Scattering on D3-branes
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• On higher derivative corrections of tachyon action

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• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Three Point Tree Level Amplitude in Superstring Theory
• S-dual Amplitude and D3-Brane Couplings
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• 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
• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory