Unitarity constraint on the Kähler curvature

• Main Authors: Yohei Ema, Ryuichiro Kitano, Takahiro Terada
• Format: Article
• Language: English
• Published: SpringerOpen 2018-09-01
• Series: Journal of High Energy Physics
• Subjects: Scattering Amplitudes; Supersymmetric Effective Theories; 1/N Expansion; Compactification and String Models
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2018)075

Abstract In supersymmetric theories, the signs of quartic terms in the Kähler potential control the stability of non-supersymmetric field configurations. In particular, in supersymmetric inflation models, the signs are important for the stability of an inflationary trajectory as well as for the prediction of the spectral index. In this paper, we clarify what properties of a UV theory determine the sign from unitarity arguments of scattering amplitudes. As non-trivial examples, we discuss the sign of a four-meson term in large N supersymmetric gauge theories and also those of the quartic terms obtained in the intersecting D-brane models in superstring theory. The UV origins of inflationary models and supersymmetry breaking models are constrained by this discussion.