Cosmology with orthogonal nilpotent superfields

Abstract

We study the application of a supersymmetric model with two constrained supermultiplets to inflationary cosmology. The first superfield S is a stabilizer chiral superfield satisfying a nilpotency condition of degree 2, S^2=0. The second superfield Phi is the inflaton chiral superfield, which can be combined into a real superfield B=(Phi-Phi*)/2i. The real superfield B is orthogonal to S, S B=0, and satisfies a nilpotency condition of degree 3, B^3=0. We show that these constraints remove from the spectrum the complex scalar sgoldstino, the real scalar inflaton partner (i.e. the "sinflaton"), and the fermionic inflatino. The corresponding supergravity model with de Sitter vacua describes a graviton, a massive gravitino, and one real scalar inflaton, with both the goldstino and inflatino being absent in unitary gauge. We also discuss relaxed superfield constraints where S^2=0 and S Phi* is chiral, which removes the sgoldstino and inflatino, but leaves the sinflaton in the spectrum. The cosmological model building in both of these inflatino-less models offers some advantages over existing constructions.

20+9 pages; v2: version to appear in PRD

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• Constrained superfields in Supergravity
• The Supersymmetric Effective Field Theory of Inflation
• String Theory Origin of Constrained Multiplets
• Inflation from Nilpotent Kähler Corrections
• Inflatino-less Cosmology
• Catastrophic Production of Slow Gravitinos
• Gravitino Problem in Minimal Supergravity Inflation
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• Nonlinear (Super)Symmetries and Amplitudes
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• Gravitino Problem in Inflation Driven by Inflaton-Polonyi Kähler Coupling
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• The Super-Stuckelberg procedure and dS in Pure Supergravity
• Two-Field Born-Infeld with Diverse Dualities
• Minimal constrained superfields and the Fayet-Iliopoulos model
• Soft-Collinear Supersymmetry
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Collinear Superspace
• Nilpotent superfields for broken abelian symmetries
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• Causality constraints on nonlinear supersymmetry
• Tree amplitudes from nonlinear (super)symmetries in Volkov-Akulov theory
• Constrained Superfields in Dynamical Background
• Supersymmetric Inflation from the Fifth Dimension
• Aspects of cubic nilpotent superfields
• Stripping a supermultiplet of all but one scalar: a microscopic view
• Navigating Collinear Superspace
• Modification of T/E models and their multi-field versions