Minimal gauge invariant couplings at order α′3: NS–NS fields

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2020-11, Vol.80 (11), Article 1086
• Main Author: Garousi, Mohammad R.
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Couplings; Derivatives; Elementary Particles; Hadrons; Heavy Ions; Identities; Invariants; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article – Theoretical Physics; String Theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-08662-9

Removing the field redefinitions, the Bianchi identities and the total derivative freedoms from the general form of gauge invariant NS–NS couplings at order α ′ 3 , we have found that the minimum number of independent couplings is 872. We find that there are schemes in which there is no term with structures R , R μ ν , ∇ μ H μ α β , ∇ μ ∇ μ Φ . In these schemes, there are sub-schemes in which, except one term, the couplings can have no term with more than two derivatives. In the sub-scheme that we have chosen, the 872 couplings appear in 55 different structures. We fix some of the parameters in type II supersting theory by its corresponding four-point functions. The coupling which has term with more than two derivatives is constraint to be zero by the four-point functions.