Volkov-Akulov-Starobinsky supergravity revisited

Abstract

We find new realizations of Volkov-Akulov-Starobinsky supergravity, i.e. Starobinsky inflationary models in supergravity coupled to a nilpotent superfield describing Volkov-Akulov goldstino. Our constructions are based on the no-scale Kähler potential $K=-3\log (T+\bar{T})$ for the inflaton field, and can describe de Sitter vacuum after inflation where supersymmetry is broken by the goldstino auxiliary component. In fact, we show that a more general class of models with $K=-\alpha \log (T+\bar{T})$ for $3\le \alpha \lesssim 6.37$ can accomodate Starobinsky-like inflation with the universal prediction $n_s\simeq 1-\frac{2}{N_e}$ and $r\simeq \frac{4\alpha }{(\alpha -2{)}^2{N}_e^2}$, while for $6.37\lesssim \alpha \lesssim 7.23$ viable hilltop inflation is possible (with $n_s$ and $r$ close to the above expressions). We derive the full component action and the masses of sinflaton, gravitino, and inflatino that are generally around the inflationary Hubble scale. Finally, we show that one of our models can be dualized into higher-derivative supergravity with constrained chiral curvature superfield.

18 pages, 3 figures (5 subfigures). Update (v3): added new section describing dual (higher-derivative) gravitational actions

References in corpus (13)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Planck, LHC, and $\alpha$-attractors
• $\overline{D3}$ and dS
• 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
• A No-Scale Inflationary Model to Fit Them All
• Inflation, de Sitter Landscape and Super-Higgs effect
• The supersymmetric anti-D3-brane action in KKLT
• Generalized dilaton-axion models of inflation, de Sitter vacua and spontaneous SUSY breaking in supergravity
• Off-shell unimodular N=1, d=4 supergravity

Cited by in corpus (5)

• Primordial black holes from Volkov-Akulov-Starobinsky supergravity
• $\alpha$-attractors from supersymmetry breaking
• Nilpotent superfields for broken abelian symmetries
• Starobinsky Inflation with T-Model Kaehler Geometries
• Rapid-turn inflation in supergravity is rare and tachyonic