On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA

Abstract

We compute all three and four point couplings of BPS $D_p$-branes for all different nonzero $p$-values on the entire world volume and transverse directions. We start finding out all four point function supersymmetric Wess-Zumino (WZ) actions of one closed string Ramond-Ramond (RR) field with two fermions, either with the same (IIB) or different chirality (IIA) as well as their all order ${\alpha }^{\prime }$ corrections. The closed form of S-matrices of two closed string RR in both IIB, IIA, including their all order ${\alpha }^{\prime }$ corrections have also been addressed. Our results confirm that, not only the structures of ${\alpha }^{\prime }$ corrections but also their coefficients of IIB are quite different from their IIA ones. The S-matrix of an RR and two gauge (scalar) fields and their all order corrections in antisymmetric picture of RR have been carried out as well. Various remarks on the restricted Bianchi identities as well as all order ${\alpha }^{\prime }$ corrections to all different supersymmetric WZ couplings in both type IIA and IIB superstring theory are also released. Lastly, different singularity structures as well as all order contact terms for all non-vanishing traces in type II have also been constructed.

19 pages,V3: Clarifications on 4-point functions are added, Published in PLB

References in corpus (8)

• On Wess-Zumino terms of Brane-Antibrane systems
• $N^3$ entropy of M5 branes from dielectric effect
• On effective actions of BPS branes and their higher derivative corrections
• 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
• Universality in all-order ${\alpha }^{\prime }$ corrections to BPS/non-BPS brane world volume theories
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• One loop scattering on D-branes

Cited by in corpus (3)

• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems