O-plane couplings at order α′2: one R-R field strength

• Published in: The journal of high energy physics 2020-06, Vol.2020 (6), p.1-30, Article 171
• Main Authors: Mashhadi, Mahboube, Garousi, Mohammad R.
• Format: Article
• Language: English
• Subjects: Classical and Quantum Gravitation; Coefficients; Couplings; D-branes; Elementary Particles; Field strength; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Duality; String Theory; Superstrings and Heterotic Strings
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2020)171

A bstract It is known that the anomalous Chern-Simons (CS) coupling of O p -plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order α′ 2 . By requiring the R-R and NS-NS gauge invariances, we first find all independent couplings at order α′ 2 . There are 1 , 6 , 28 , 20 , 19 , 2 couplings corresponding to the R-R field strengths F ( p− 4) , F ( p− 2) , F ( p ) , F ( p +2) , F ( p +4) and F ( p +6) , respectively. We then impose the T-duality constraint on these couplings and on the CS coupling C ( p− 3) ∧ R ∧ R at order α′ 2 to fix their corresponding coefficients. The T-duality constraint fixes all coefficients in terms of the CS coefficient. They are fully consistent with the partial couplings that have been already found in the literature by the S-matrix method.