Year: 2021
Type: article
Abstract: It has been argued that supergravity models of inflation with vanishing sound speeds, ${c}_{s}$, lead to an unbounded growth in the production rate of gravitinos. We consider several models of inflation to delineate the conditions for which ${c}_{s}=0$. In models with unconstrained superfields, we argue that the mixing of the Goldstino and inflatino in a time-varying background prevents the uncontrolled production of the longitudinal modes. This conclusion is unchanged if there is a nilpotent field associated with supersymmetry breaking with constraint ${\mathbf{S}}^{\mathbf{2}}=0$, i.e., (s)Goldstino-less models. Models with a second orthogonal constraint, $\mathbf{S}(\mathbf{\ensuremath{\Phi}}\ensuremath{-}\overline{\mathbf{\ensuremath{\Phi}}})=0$, where $\mathbf{\ensuremath{\Phi}}$ is the inflaton superfield, which eliminates the inflatino, may suffer from the overproduction of gravitinos. However, we point out that these models may be problematic if this constraint originates from a UV Lagrangian, as this may require using higher derivative operators. These models may also exhibit other pathologies, such as ${c}_{s}>1$, which are absent in theories with the single constraint or unconstrained fields.
Institutions: Centre National de la Recherche Scientifique, École Polytechnique, Centre de Physique Théorique, Consejo Superior de Investigaciones Científicas, Instituto de Física Teórica, Université Paris-Saclay, Institut National de Physique Nucléaire et de Physique des Particules, Laboratoire de Physique des 2 Infinis Irène Joliot-Curie, University of Minnesota, University of Padua, Istituto Nazionale di Fisica Nucleare, Sezione di Padova
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: U.S. Department of Energy, University of Minnesota, Centro de Biología Molecular Severo Ochoa, European Commission, Agence Nationale de la Recherche, Federación Española de Enfermedades Raras, Ministerio de Economía y Competitividad, Centre National de la Recherche Scientifique, Agencia Estatal de Investigación, Institut National de Physique Nucléaire et de Physique des Particules, H2020 Marie Skłodowska-Curie Actions
Awards: G1100418129, G11920363, G1746794430, G2970403652, Hunting Invisibles: Dark sectors, Dark matter and Neutrinos, G4086792368, G434337789, THEORETICAL HIGH ENERGY PHYSICS AT THE UNIVERSITY OF MINNESOTA, G5420063140, G6496089293, G710562438, Black Hole Microstate and de Sitter Landscapes in String Theory, G8054261029
OpenAlex ID: W3141751528