Abstract
We explicitly compute the component action of certain recently discovered new mathcal{N} = 1 supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and also contain fermionic interaction terms that become singular when supersymmetry is unbroken. They are the “Liberated Supergravity” introduced by Farakos, Kehagias and Riotto, and supergravities with a new Kähler-invariant Fayet-Iliopoulos term proposed by Antoniadis, Chatrabhuti, Isono, and Knoops. This paper is complementary to our previous papers [Phys. Rev. D103 (2021) 025008 and 105006], in which new constraints on the coupling constants of those new theories were found. In this paper we spell out many details that were left out of our previous papers.
Highlights
The results of LHC run 2 show no significant deviations from Standard Model predictions thereby pushing the energy scale of new physics — and in particular low-scale supersymmetry [1, 2]– to higher and higher values
We explicitly compute the component action of certain recently discovered new N = 1 supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and contain fermionic interaction terms that become singular when supersymmetry is unbroken
In superstring theory the largest and best understood set of models of low-energy physics — such as Calabi-Yau or flux compactifications — are such that extra dimensions are compactified at energy scales which are much above the supersymmetry breaking scale
Summary
The results of LHC run 2 show no significant deviations from Standard Model predictions thereby pushing the energy scale of new physics — and in particular low-scale supersymmetry [1, 2]– to higher and higher values. While a large MS means that supersymmetry does not help solving the Standard Model naturalness problem it does open up many new possibilities for writing consistent actions Among these possibilities, some recent proposals use explicitly supersymmetric terms that look at first sight singular, because when written in superspace they contain inverse powers of superfields. Supergravity actions contain many nonrenormalizable operators that depend on the fermionic fields Their existence defines an ultraviolet (UV) cutoff scale of the theory. Liberated supergravity was constructed in [10] using the superspace formalism, where a Kähler transformation is introduced to compensate the variation of the action under a super-Weyl rescaling. Instead of considering the Kähler transformation of the Kähler potential a superconformal compensator is introduced in the superconformal formalism to eliminate the variation of the action transformed by a super-Weyl rescaling ( called Howe-Tucker transformation [17]).
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