Simple Sinflaton-less $\alpha$-attractors

Abstract

We construct the simplest inflationary $\alpha$-attractor models in supergravity: it has only one scalar, the inflaton. There is no sinflaton since the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton depends on fermion bilinears. When the local supersymmetry is gauge-fixed, these models have only one single real scalar (the inflaton), a graviton and a massive gravitino. The sinflaton, sgoldstino and inflatino are all absent from the physical spectrum in the unitary gauge. The orthogonality condition leads to the simplest Kähler potential for the inflaton, while preserving the Poincaré disk geometry of $\alpha$-attractors. The models are particularly simple in the framework of the $\overline{D3}$ induced geometric inflation.

12 pages

References in corpus (11)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• On sgoldstino-less supergravity models of inflation
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• Inflation from Nilpotent Kähler Corrections
• Constrained superfields from an anti-D3-brane in KKLT
• Gravitino Problem in Minimal Supergravity Inflation
• Off-shell Poincare Supergravity
• Gravitino Problem in Inflation Driven by Inflaton-Polonyi Kähler Coupling