Universality in all-order ${\alpha }^{\prime }$ corrections to BPS/non-BPS brane world volume theories

Abstract

Knowledge of all-${\alpha }^{\prime }$ higher derivative corrections to leading order BPS and non-BPS brane actions would serve in future endeavor of determining the complete form of the non-abelian BPS and tachyonic effective actions. In this paper, we note that there is a universality in the all-${\alpha }^{\prime }$ order corrections to BPS and non-BPS branes. We compute amplitudes between one Ramond-Ramond $C$-field vertex operator and several SYM gauge/scalar vertex operators. Specifically, we evaluate in closed form string correlators of two-point amplitudes ${\mathcal{A}}^{\mathcal{C}\varphi }$, ${\mathcal{A}}^{\mathcal{C}\mathcal{A}}$, a three-point amplitude ${\mathcal{A}}^{\mathcal{C}\varphi \varphi }$ and a four-point amplitude ${\mathcal{A}}^{\mathcal{C}\varphi \varphi \varphi }$. We carry out pole and contact term analysis. In particular we reproduce some of the contact terms and the infinite massless poles of ${\mathcal{A}}^{\mathcal{C}\varphi \varphi \varphi }$ by SYM vertices obtained through the universality.

29 pages, 4figures, Refs and some applications for higher derivative corrections have been added. Version to appear in NPB

References in corpus (9)

• On Wess-Zumino terms of Brane-Antibrane systems
• More on WZ action of non-BPS branes
• $N^3$ entropy of M5 branes from dielectric effect
• On effective actions of BPS branes and their higher derivative corrections
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Cited by in corpus (9)

• $N^3$ entropy of M5 branes from dielectric effect
• More on closed string induced higher derivative interactions on D-branes
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• 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