On Special Limit of Non-Supersymmetric Effective Actions of type II String theory

TL;DR

This paper investigates non-BPS string scattering amplitudes in type IIA and IIB theories, revealing new couplings, higher derivative corrections, and singularity structures, advancing the understanding of non-supersymmetric effective actions.

Contribution

It introduces the complete form of a six-point non-BPS amplitude and derives all-order alpha-prime corrections and new couplings for effective actions in type II string theories.

Findings

Derived all-order higher derivative corrections.

Constructed infinite bulk singularities in effective field theory.

Identified new couplings and Bianchi identities.

Abstract

In this paper we first address four point functions of string amplitudes in both type IIA and IIB string theories. Making use of non-BPS scattering amplitudes, we explore not only several Bianchi identities that hold in both transverse and world volume directions of brane, but also reveal various new couplings. These couplings can just be found by taking into account the mixed pull-back and Taylor couplings where their all order alpha-prime higher derivative corrections have been derived as well. For the first time, we also explore the complete form of a six point non-BPS amplitude, involving three open string tachyons, a scalar field and a Ramond-Ramond closed string in both IIA, IIB. In a special limit of the amplitude and using the proper expansion we obtain an infinite number of bulk singularities that are being constructed in the effective field theory. Finally using new couplings we construct all the other massless and tachyon singularities in type IIA, IIB string theories. All higher derivative corrections to these new couplings to all orders in $\alpha'$ and new restricted Bianchi identities have also been gained.