Unitarity constraint on the K\"ahler curvature
Abstract
In supersymmetric theories, the signs of quartic terms in the K\"ahler 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 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.
Keywords
Cite
@article{arxiv.1807.06940,
title = {Unitarity constraint on the K\"ahler curvature},
author = {Yohei Ema and Ryuichiro Kitano and Takahiro Terada},
journal= {arXiv preprint arXiv:1807.06940},
year = {2018}
}
Comments
20 pages, 2 figures; published version, minor changes, references added