Abstract The modified supergravity approach is applied to describe a formation of Primordial Black Holes (PBHs) after Starobinsky inflation. Our naturally leads the two-(scalar)-field attractor-type double inflation, whose first stage driven by scalaron and second another scalar field which belongs multiplet. potential kinetic terms are derived, vacua studied, inflationary dynamics those two scalars investigated. We numerically compute power spectra we find ultra-slow-roll regime leading an...

We propose a novel model of the modified (Starobinsky-like) old-minimal-type supergravity coupled to chiral matter superfield, that can {\it simultaneously} describe multi-field inflation, primordial black hole (PBH) formation, dark (DM), and spontaneous supersymmetry (SUSY) breaking after inflation in Minkowski vacuum. The PBH masses our double slow-roll with short phase "ultra-slow-roll" between two phases, are close $10^{18}$ g. find significant fraction allowed mass window be...

We study the formation of primordial black holes (PBH) in Starobinsky supergravity coupled to nilpotent superfield describing Volkov-Akulov goldstino. By using no-scale K\"ahler potential and a polynomial superpotential, we find that under certain conditions our model can describe effectively single-field inflation with ultra-slow-roll phase appears near critical (nearly-inflection) point scalar potential. This lead PBH as part (or whole) dark matter, while keeping inflationary spectral tilt...

We propose a mechanism of symmetry breaking or restoration that can occur in the middle inflation due to coupling Gauss-Bonnet term charged scalar. The results an inflaton-dependent effective squared mass scalar, which change its sign (around symmetric point) during inflation. This lead spontaneous symmetry, restoration, if it is initially broken. show conditions under backreaction on inflationary background negligible, such predictions given model are unaffected by breaking/restoration process.

We propose a mechanism for symmetry breaking or restoration that can occur in the middle of inflation, due to coupling Gauss–Bonnet term charged scalar. The results an inflaton-dependent effective squared mass scalar, which change its sign (around symmetric point) during inflation. This lead spontaneous symmetry, restoration, if it is initially broken. show conditions under backreaction on inflationary background negligible, such predictions given model are unaffected by breaking/restoration process.

Polonyi–Starobinsky (PS) supergravity is the [Formula: see text] model of Starobinsky inflation with spontaneous supersymmetry breaking (after inflation) due to Polonyi superfield, and inflaton belonging a massive vector supermultiplet. The PS used for an explicit realization (super-heavy) gravitino dark matter scenario in cosmology. We find potential instability this model, offer mechanism its removal by adding Fayet–Iliopoulos (FI) term.

We explore the Gravitational Waves (GW) phenomenology of a simple class supergravity models that can explain and unify inflation Primordial Black Holes (PBH) as Dark Matter (DM). Our (modified) naturally lead to two-field attractor-type double inflation, whose first stage is driven by Starobinsky scalaron second another scalar belonging multiplet. The PBHs formation in our efficient, compatible with all observational constraints, predicts stochastic GW background. compute PBH-induced power...

We propose a limited class of models, describing interacting chiral multiplets with non-minimal coupling to vector multiplet, in curved superspace N=1 supergravity. Those models are suitable for the inflationary model building supergravity inflaton assigned massive multiplet and spontaneous SUSY breaking Minkowski vacuum after inflation, any values parameters ns r, scale breaking.

We propose new interactions of a (massive) vector multiplet with chiral multiplets and (D-type) spontaneously broken supersymmetry in four-dimensional N=1 supergravity, due to the generalized Fayet-Iliopoulos (FI) terms. Our actions are invariant under linearly realized off-shell Kaehler-Weyl transformations. compute scalar potentials pinpoint some physical restrictions arising this approach.

We propose the unified models of cosmological inflation, spontaneous SUSY breaking, and dark energy (de Sitter vacuum) in $N=1$ supergravity with dilaton-axion chiral superfield $T$ presence an vector multiplet alternative Fayet-Iliopoulos term. By using K\"ahler potential as $K=-\alpha\log(T+\bar{T})$ superpotential a sum constant linear term, we find that viable inflation is possible for $3\leq\alpha\leq\alpha_{\rm max}$ where $\alpha_{\rm max}\approx 7.235$. Observations amplitude...

Abstract We study a realization of the inflationary scenario where Peccei–Quinn (PQ) symmetry is spontaneously broken during inflation, facilitated by its nonminimal coupling to gravity. This results in, effectively, two-field inflation: early stage driven an inflaton field with PQ intact, and later scalar after effective mass becomes tachyonic, causing destabilization from origin. The serves dual purpose restoring inflation flattening potential posttachyonic shift, allowing for continued...

A supergravity extension of the $(R+{R}^{2})$ gravity with additional (Born-Infeld) structure a massive vector multiplet gives rise to specific $F(R)$ gravity, whose is investigated in detail. The has an inflaton (scalaron), goldstino, and field as its components. model describes Starobinsky inflation allows us extrapolate function beyond inflationary scale (up Planck scale). We observe some differences versus several breaking patterns well-known correspondence between scalar-tensor gravity.

The $$N=1$$ supergravity models of cosmological inflation with an inflaton belonging to a massive vector multiplet and spontaneous SUSY breaking after are reformulated as the supersymmetric U(1) gauge theories massless superfield interacting Higgs Polonyi chiral superfields, all coupled supergravity. sector is identified fields super-GUT supergravity, whose group has factor. A positive constant (dark energy) included. scalar potential calculated, its de Sitter vacuum solution found be stable.

A bstract We propose a four-dimensional N = 1 supergravity-based Starobinsky-type inflationary model in terms of single massive vector multiplet, whose action includes the Dirac-Born-Infeld-type kinetic and generalized (new) Fayet-Iliopoulos-type term, without gauging R-symmetry. The bosonic scalar potential are computed. inflaton is superpartner Goldstino our model, supersymmetry spontaneously broken after inflation by D-type mechanism, scale related to value cosmological constant.

We study reheating after the end of inflation in models where inflaton is superpartner goldstino and charged under a gauged $U(1)$ R-symmetry. consider two classes -- one small field characterized by an almost flat K\"ahler space, other large hyperbolic space $SU(1,1)/U(1)$, while both cases superpotential linear due to The inflationary observables our fit within 2$\sigma$ CMB values. Upon coupling sector (supersymmetric) Standard Model, we compute MSSM parameters, mass spectrum, decay modes...

We demonstrate the occurrence of sound speed resonances (SSR) in Gauss-Bonnet-coupled inflation across a wide range coupling functions and parameters. After inflation, damped oscillations inflaton around its potential minimum induces tensor modes, leading to resonant amplification latter. Once stabilizes minimum, reduces unity (speed light). In context multifield can be followed by second phase resulting distinctive stochastic background gravitational waves (GWs). show that these GW signals...

The minimal Starobinsky supergravity with inflaton (scalaron) and goldstino in a massive vector supermultiplet is coupled to the dilaton-axion chiral superfield no-scale K\"ahler potential superpotential. Kachru-Kallosh-Linde-Trivedi-type superpotential constant term used stabilize dilaton axion during inflation, but it shown lead an instability. instability cured by adding alternative Fayet-Iliopoulos (FI) that does not gauged $R$ symmetry. Other stabilization mechanisms, based on...

Abstract We construct new models of inflation and spontaneous supersymmetry breaking in de Sitter vacuum, with a single chiral superfield, where inflaton is the superpartner goldstino. Our approach based on hyperbolic Kähler geometry, gauged (non-axionic) $$U(1)_R$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>U</mml:mi> <mml:msub> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>R</mml:mi> </mml:msub> </mml:math> symmetry rotating...

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 $$K=-3\log (T+\overline{T})$$ <mml:math...

Abstract We find new solutions to real cubic constraints on $$N=1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> chiral superfields transforming under global abelian symmetries. These describe the low-energy dynamics of a goldstino interacting with an axion (both belonging same superfield) non-linearly realized supersymmetry. show relation between our model and approach Komargodski...

We propose the Starobinsky-type inflationary model in matter-coupled $N=1$ four-dimensional supergravity with massive vector multiplet that has inflaton (scalaron) and goldstino amongst its field components, whose action includes Dirac-Born-Infeld-type kinetic term generalized (new) Fayet-Iliopoulos-type term, without gauging R-symmetry. The chiral matter ("hidden sector") is described by modified Polonyi needed for spontaneous supersymmetry breaking after inflation. compute bosonic scalar...

We find a new class of N=1 no-scale supergravity models with F- and D-term supersymmetry breaking, using Fayet-Iliopoulos term. The minimal setup contains one U(1) vector multiplet neutral chiral parametrizing SL(2,R)/U(1) manifold, constant superpotential linear gauge kinetic function. In our construction the FI term is field-dependent, can obtain flat vanishing potential (Minkowski vacuum) broken SUSY, global SL(2,R) invariance (self-duality) bosonic equations motion. spectrum model...

We propose the supersymmetric extension of modified Born–Infeld-axion-dilaton non-linear electrodynamics that has confined static abelian solutions used for describing electromagnetic confinement in presence axion and dilaton fields, as well charged matter. The also non-trivial scalar potential implies upper bounds on matter fields.

We propose a novel realization of spontaneous supersymmetry breaking in de Sitter vacuum by $F$- and $D$-terms $N=1$ four-dimensional supergravity coupled to chiral superfield with $SU(1,1)/U(1)$ target space. Our construction features gauged $U(1{)}_{R}$ symmetry rotating the scalar field phase. Both $R$-symmetry can be spontaneously broken, for two particular parameter choices we obtain no-scale positive tunable cosmological constant.