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On effective actions of BPS branes and their higher derivative corrections

2010/03/31 by Ehsan Hatefi · 40 citations
Mathematics · Physics and Astronomy · #Action (physics) #Amplitude #Black Holes and Theoretical Physics #Brane cosmology #Combinatorics #Cosmology and Gravitation Theories #Effective action #Field (mathematics) #Gauge theory #Graph #Massless particle #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #Vertex (graph theory) #hep-th

paper · pdf · doi:10.1007/jhep05(2010)080

published in Journal of High Energy Physics 2010(5) (Springer Nature) · 26 pages, 2 figures, minor corrections,references added and version published in JHEP

openalex publication_date 2010/05/01 · arxiv created 2010/05/26 · arxiv updated 2010/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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