Deforming the Starobinsky model in ghost-free higher derivative supergravities

Abstract

We consider higher derivative supergravities that are dual to ghost-free $N=1$ supergravity theories in the Einstein frame. The duality is implemented by deforming the Kähler function, and/or the superpotential, to include nonlinear dependences on chiral fields that in other approaches play the role of the Lagrange multipliers employed to establish this duality. These models are of the no-scale type, and in the minimal case, require the presence of four chiral multiplets, with a Kähler potential having the structure of the $SU(4,1)/SU(4)\times U(1)$ coset manifold. In the standard $N=1$ supergravity formulation, these models are described by a multifield scalar potential, featuring Starobinsky-like behavior in particular directions.

32 pages, 2 figures, pdfLateX, Title slightly changed, text added, references added and corrected, typos corrected, unnecessary figures removed, results unchanged

References in corpus (25)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• The Unity of Cosmological Attractors
• From Linear SUSY to Constrained Superfields
• New models of chaotic inflation in supergravity
• General inflaton potentials in supergravity
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Large Field Inflation and Double $\alpha$-Attractors
• Embedding (R+R^2)-Inflation into Supergravity
• Counting ghosts in the "ghost-free" non-local gravity
• On sgoldstino-less supergravity models of inflation
• Ghost Constraints on Modified Gravity
• The Imaginary Starobinsky Model
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Resurrecting Quadratic Inflation in No-Scale Supergravity in Light of BICEP2
• The double attractor behavior of induced inflation
• A No-Scale Inflationary Model to Fit Them All
• Two-Field Analysis of No-Scale Supergravity Inflation
• Inflation from Nilpotent Kähler Corrections
• Inflation in no-scale supergravity
• The Ghost Condensate in N=1 Supergravity
• Supersymmetry Breaking and Inflation from Higher Curvature Supergravity
• Energy conditions in Starobinsky supergravity
• Inflation in $R^2$ supergravity with non-minimal superpotentials
• Moduli Backreaction on Inflationary Attractors

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• Non-linear Realizations and Higher Curvature Supergravity
• Ghostbusters in $f(R)$ supergravity
• Second-order corrections to Starobinsky inflation
• On the Realization of WIMPflation
• Supersymmetric higher-derivative models in quantum cosmology