On BPS World Volume, RR Couplings, and Their α′ Corrections in Type IIB

Ehsan Hatefi

doi:10.1155/2020/3872479

Abstract

We compute the asymmetric and symmetric correlation functions of a four-point amplitude of a gauge field, a scalar field, and a closed string Ramond-Ramond (RR) for different nonvanishing BPS branes. All world volume, the Taylor and pull-back couplings, and their all-order α′ corrections have also been explored. Due to various symmetry structures, different restricted BPS Bianchi identities have also been constructed. The prescription of exploring all the corrections of two closed string RR couplings in type IIB is given. We obtain the closed form of the entire S-matrix elements of two closed string RRs and a gauge field on the world volume of BPS branes in type IIB. All the correlation functions of VA0x1VC−1z1,z¯1VC−1z2,z¯2 are also revealed accordingly. The algebraic forms for the most general case of the integrations ∫d2zz−iaz+ibz−z¯cz+z¯d on the upper half plane are derived in terms of Pochhammer and some analytic functions. Lastly, we generate various singularity structures in both effective field theory and IIB string theory, producing different contact interactions as well as their α′ higher derivative corrections.

Highlights

The fundamental objects are called Dp-branes that are long known to be existed
One may point out to the dissolving branes [3, 4], K-theory [5, 6], and the well-known dielectric or Myers effect [7] where some of their α′ corrections are derived in detail in [8]. To proceed with their dynamics, one needs to know all sorts of effective actions where various potentially interesting references are given in [9]
One can show that the expansions of A3εseries1⁄21, 2, A3 εseries1⁄21, 3, and A3εseries1⁄21, 4 have no poles and made out of just contact interactions of the sort of the following form: One can show that A5 and A6 have no contribution to our S-matrix, due to the fact that their integrations are zero on the upper half plane

Summary

Introduction

The fundamental objects are called Dp-branes that are long known to be existed. The late Joe Polchinski has given life to the D-branes as dynamical objects, and they are assumed to be sources for Ramond-Ramond (RR) closed string for all sorts of the established BPS branes [1, 2]. Using direct CFT methods [45], we would like to explore the entire S-matrix elements of an asymmetric RR, a scalar field, and a gauge field where its all-order α′ higher derivative corrections can be examined It will be given by exploring all its correlation function as ð. Using momentum conservation along the world volume of brane ðk1 + k2 + pÞa = 0, due to symmetry structures and to get consistent result for both above symmetric amplitudes, one gets to derive the following restricted Bianchi identity for RR’s field strength as below:. We would like to carry out direct CFT methods to derive the entire S-matrix elements of two closed string RRs and a gauge field on the world volume of BPS branes in IIB. One can show that the expansions of A3εseries1⁄21, 2, A3 εseries1⁄21, 3, and A3εseries1⁄21, 4 have no poles and made out of just contact interactions of the sort of the following form: One can show that A5 and A6 have no contribution to our S-matrix, due to the fact that their integrations are zero on the upper half plane

World Volume Singularity Structures of IIB

Conclusion

Solving the Integrals of Two RRs and an NS Field