scholarly journals Gravitino condensate in N = 1 supergravity coupled to the N = 1 supersymmetric Born–Infeld theory

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ryotaro Ishikawa ◽  
Sergei V Ketov
Keyword(s):  
Supersymmetry Breaking ◽  
Effective Potential ◽  
Cosmological Term ◽  
Positive Contribution ◽  
De Sitter ◽  
Negative Contribution ◽  
Slow Roll ◽  
Cosmological Inflation ◽  
Physical Consequences ◽  
De Sitter Vacuum

Abstract The $N=1$ supersymmetric Born–Infeld theory coupled to $N=1$ supergravity in four spacetime dimensions is studied in the presence of a cosmological term with spontaneous supersymmetry breaking. The consistency is achieved by compensating a negative contribution to the cosmological term from the Born–Infeld theory by a positive contribution originating from the gravitino condensate. This leads to an identification of the Born–Infeld scale with the supersymmetry-breaking scale. The dynamical formation of the gravitino condensate in supergravity is reconsidered and the induced one-loop effective potential is derived. Slow-roll cosmological inflation with the gravitino condensate as the inflaton (near the maximum of the effective potential) is viable against the Planck 2018 data and can lead to the inflationary (Hubble) scale as high as $10^{12}$ GeV. Uplifting the Minkowski vacuum (after inflation) to a de Sitter vacuum (dark energy) is possible by the use of the alternative Fayet–Iliopoulos term. Some major physical consequences of our scenario for reheating are also briefly discussed.

Dark ingredients in one drop

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Irina Dymnikova ◽  
Evgeny Galaktionov
Keyword(s):  
Cosmological Term ◽  
Energy Tensor ◽  
De Sitter ◽  
Stress Energy Tensor ◽  
Dark Fluid ◽  
Spatially Inhomogeneous ◽  
Stress Energy ◽  
Gravitational Vacuum ◽  
De Sitter Vacuum ◽  
Unified Description

AbstractA unified description of dark ingredients is realized by a vacuum dark fluid defined by symmetry of its stress-energy tensor and allowed by General Relativity. The symmetry is reduced compared with the maximally symmetric de Sitter vacuum, which makes vacuum dark fluid essentially anisotropic and allows its density and pressure to evolve. It represents distributed vacuum dark energy by a time-evolving and spatially inhomogeneous cosmological term, and vacuum dark matter by gravitational vacuum solitons which are regular gravitationally bound structures without horizons (dark particles or dark stars), with the de Sitter centre (Λδki) in de Sitter space (λδki).

Unification of dark energy and dark matter based on the Petrov classification and space-time symmetry

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641005 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Space Time ◽  
Cosmological Term ◽  
De Sitter ◽  
Dark Fluid ◽  
Time Symmetry ◽  
Stress Energy ◽  
Petrov Classification ◽  
De Sitter Vacuum

The Petrov classification of stress-energy tensors provides a model-independent definition of a vacuum by the algebraic structure of its stress-energy tensor and implies the existence of vacua whose symmetry is reduced as compared with the maximally symmetric de Sitter vacuum associated with the Einstein cosmological term. This allows to describe a vacuum in general setting by dynamical vacuum dark fluid, presented by a variable cosmological term with the reduced symmetry which makes vacuum dark fluid essentially anisotropic and allows it to be evolving and clustering. The relevant regular solutions to the Einstein equations describe regular cosmological models with time-evolving and spatially inhomogeneous vacuum dark energy, and compact vacuum objects generically related to a dark energy through the de Sitter vacuum interior: regular black holes, their remnants and self-gravitating vacuum solitons — which can be responsible for observational effects typically related to a dark matter. The mass of objects with de Sitter interior is generically related to vacuum dark energy and to breaking of space-time symmetry.

scholarly journals $$\alpha $$-attractors from supersymmetry breaking

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Yermek Aldabergenov ◽  
Auttakit Chatrabhuti ◽  
Hiroshi Isono
Keyword(s):  
Supersymmetry Breaking ◽  
De Sitter ◽  
Radial Part ◽  
Kahler Geometry ◽  
High Scale ◽  
Angular Component ◽  
Fermionic Sector ◽  
Single Field ◽  
De Sitter Vacuum ◽  
Chiral Superfield

AbstractWe construct new models of inflation and spontaneous supersymmetry breaking in de Sitter vacuum, with a single chiral superfield, where inflaton is the superpartner of the goldstino. Our approach is based on hyperbolic Kähler geometry, and a gauged (non-axionic) $$U(1)_R$$ U ( 1 ) R symmetry rotating the chiral scalar field by a phase. The $$U(1)_R$$ U ( 1 ) R gauge field combines with the angular component of the chiral scalar to form a massive vector, and single-field inflation is driven by the radial part of the scalar. We find that in a certain parameter range they can be approximated by simplest Starobinsky-like (E-model) $$\alpha $$ α -attractors, thus predicting $$n_s$$ n s and r within $$1\sigma $$ 1 σ CMB constraints. Supersymmetry (and R-symmetry) is broken at a high scale with the gravitino mass $$m_{3/2} > rsim 10^{14}$$ m 3 / 2 ≳ 10 14 GeV, and the fermionic sector also includes a heavy spin-1/2 field. In all the considered cases the inflaton is the lightest field of the model.

scholarly journals SPHERICALLY SYMMETRIC SPACE–TIME WITH REGULAR DE SITTER CENTER

2003 ◽  
Vol 12 (06) ◽  
pp. 1015-1034 ◽  
Author(s):  
IRINA DYMNIKOVA
Keyword(s):  
Black Hole ◽  
Energy Condition ◽  
Space Time ◽  
Cosmological Term ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Sitter Group ◽  
Class Invariant ◽  
Time Symmetry ◽  
De Sitter Vacuum

We formulate the requirements which lead to the existence of a class of globally regular solutions of the minimally coupled GR equations asymptotically de Sitter at the center. The source term for this class, invariant under boosts in the radial direction, is classified as spherically symmetric vacuum with variable density and pressure [Formula: see text] associated with an r-dependent cosmological term [Formula: see text], whose asymptotic at the origin, dictated by the weak energy condition, is the Einstein cosmological term Λgμν, while asymptotic at infinity is de Sitter vacuum with λ < Λ or Minkowski vacuum. For this class of metrics the mass m defined by the standard ADM formula is related to both the de Sitter vacuum trapped at the origin and the breaking of space–time symmetry. In the case of the flat asymptotic, space–time symmetry changes smoothly from the de Sitter group at the center to the Lorentz group at infinity through radial boosts in between. Geometry is asymptotically de Sitter as r → 0 and asymptotically Schwarzschild at large r. In the range of masses m ≥ m crit , the de Sitter–Schwarzschild geometry describes a vacuum nonsingular black hole (ΛBH), and for m < m crit it describes G-lump — a vacuum selfgravitating particle-like structure without horizons. In the case of de Sitter asymptotic at infinity, geometry is asymptotically de Sitter as r → 0 and asymptotically Schwarzschild–de Sitter at large r. Λμν geometry describes, dependently on parameters m and [Formula: see text] and choice of coordinates, a vacuum nonsingular cosmological black hole, self-gravitating particle-like structure at the de Sitter background λgμν, and regular cosmological models with cosmological constant evolving smoothly from Λ to λ.

Supergravity as the Dark Side of the Universe

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040038
Author(s):  
Sergei V. Ketov
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Dark Matter Particle ◽  
Dark Side ◽  
De Sitter ◽  
Positive Cosmological Constant ◽  
Starobinsky Model ◽  
Cosmological Inflation ◽  
De Sitter Vacuum ◽  
The Universe

The Dark Side of the Universe, which includes the cosmological inflation in the early Universe, the current dark energy and dark matter, can be theoretically described by supergravity, though it is non-trivial. We recall the arguments pro and contra supersymmetry and supergravity, and define the viable supergravity models describing the Dark Side of the Universe in agreement with all current observations. Our approach to inflation is based on the Starobinsky model, the dark energy is identified with the positive cosmological constant (de Sitter vacuum), and the dark matter particle is given by the lightest superparticle identified with the supermassive gravitino. The key role is played by spontaneous supersymmetry breaking.

scholarly journals A new model of arcsin-gravity

2015 ◽  
Vol 12 (07) ◽  
pp. 1550077 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Constant Curvature ◽  
Critical Points ◽  
Effective Potential ◽  
Flat Space ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
New Model ◽  
Slow Roll ◽  
Jordan And Einstein Frames

The new model of modified F(R)-gravity theory with the function F(R) = R + (a/γ) arcsin (γR) is suggested and investigated. Constant curvature solutions corresponding to the extremum of the effective potential are obtained. We consider both the Jordan and Einstein frames, and the potential and the mass of the scalar degree of freedom are found. It was shown that the de Sitter space-time is unstable but the flat space-time is stable. We calculate the slow-roll parameters ϵ, η, and the e-fold number of the model. Critical points of autonomous equations for the de Sitter phase and the matter dominated epoch are obtained and learned.

scholarly journals Inflationary cosmology in unimodular F(T) gravity

2017 ◽  
Vol 32 (21) ◽  
pp. 1750114 ◽  
Author(s):  
Kazuharu Bamba ◽  
Sergei D. Odintsov ◽  
Emmanuel N. Saridakis
Keyword(s):  
Spectral Index ◽  
Teleparallel Gravity ◽  
Specific Model ◽  
Inflationary Cosmology ◽  
Model Parameters ◽  
De Sitter ◽  
Reconstruction Procedure ◽  
Additional Advantage ◽  
Slow Roll ◽  
Good Agreement

We investigate the inflationary realization in the context of unimodular F(T) gravity, which is based on the F(T) modification of teleparallel gravity, in which one imposes the unimodular condition through the use of Lagrange multipliers. We develop the general reconstruction procedure of the F(T) form that can give rise to a given scale-factor evolution, and then we apply it in the inflationary regime. We extract the Hubble slow-roll parameters that allow us to calculate various inflation-related observables, such as the scalar spectral index and its running, the tensor-to-scalar ratio, and the tensor spectral index. Then, we examine the particular cases of de Sitter and power-law inflation, of Starobinsky inflation, as well as inflation in a specific model of unimodular F(T) gravity. As we show, in all cases the predictions of our scenarios are in a very good agreement with Planck observational data. Finally, inflation in unimodular F(T) gravity has the additional advantage that it always allows for a graceful exit for specific regions of the model parameters.

scholarly journals One-loop effective potential for SO(10) GUT theories in de Sitter space

1994 ◽  
Vol 11 (8) ◽  
pp. 2031-2044 ◽  
Author(s):  
Giampiero Esposito ◽  
Gennaro Miele ◽  
Luigi Rosa
Keyword(s):  
Effective Potential ◽  
De Sitter Space ◽  
De Sitter

scholarly journals Impacts of AMSU-A, MHS and IASI data assimilation on temperature and humidity forecasts with GSI–WRF over the western United States

2015 ◽  
Vol 8 (10) ◽  
pp. 4231-4242 ◽  
Author(s):  
Y. Bao ◽  
J. Xu ◽  
A. M. Powell Jr. ◽  
M. Shao ◽  
J. Min ◽  
...  
Keyword(s):  
United States ◽  
Data Assimilation ◽  
Lower Troposphere ◽  
Western United States ◽  
Observation Data ◽  
Positive Contribution ◽  
Negative Contribution ◽  
Infrared Observation ◽  
Forecast Bias ◽  
Infrared Data

Abstract. Using NOAA's Gridpoint Statistical Interpolation (GSI) data assimilation system and NCAR's Advanced Research WRF (Weather Research and Forecasting) (ARW-WRF) regional model, six experiments are designed by (1) a control experiment (CTRL) and five data assimilation (DA) experiments with different data sets, including (2) conventional data only (CON); (3) microwave data (AMSU-A + MHS) only (MW); (4) infrared data (IASI) only (IR); (5) a combination of microwave and infrared data (MWIR); and (6) a combination of conventional, microwave and infrared observation data (ALL). One-month experiments in July 2012 and the impacts of the DA on temperature and moisture forecasts at the surface and four vertical layers over the western United States have been investigated. The four layers include lower troposphere (LT) from 800 to 1000 hPa, middle troposphere (MT) from 400 to 800 hPa, upper troposphere (UT) from 200 to 400 hPa, and lower stratosphere (LS) from 50 to 200 hPa. The results show that the regional GSI–WRF system is underestimating the observed temperature in the LT and overestimating in the UT and LS. The MW DA reduced the forecast bias from the MT to the LS within 30 h forecasts, and the CON DA kept a smaller forecast bias in the LT for 2-day forecasts. The largest root mean square error (RMSE) is observed in the LT and at the surface (SFC). Compared to the CTRL, the MW DA produced the most positive contribution in the UT and LS, and the CON DA mainly improved the temperature forecasts at the SFC. However, the IR DA gave a negative contribution in the LT. Most of the observed humidity in the different vertical layers is overestimated in the humidity forecasts except in the UT. The smallest bias in the humidity forecast occurred at the SFC and in the UT. The DA experiments apparently reduced the bias from the LT to UT, especially for the IR DA experiment, but the RMSEs are not reduced in the humidity forecasts. Compared to the CTRL, the IR DA experiment has a larger RMSE in the moisture forecast, although the smallest bias is found in the LT and MT.

scholarly journals Inflation and supersymmetry breaking in Higgs-R2 supergravity

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Shuntaro Aoki ◽  
Hyun Min Lee ◽  
Adriana G. Menkara
Keyword(s):  
Supersymmetry Breaking ◽  
Planck Scale ◽  
Scalar Fields ◽  
Minimal Coupling ◽  
Slow Roll ◽  
New Construction ◽  
Visible Sector ◽  
Higgs Fields ◽  
Chiral Superfields ◽  
Slow Roll Inflation

Abstract We propose a new construction of the supergravity inflation as an UV completion of the Higgs-R2 inflation. In the dual description of R2-supergravity, we show that there appear dual chiral superfields containing the scalaron or sigma field in the Starobinsky inflation, which unitarizes the supersymmetric Higgs inflation with a large non-minimal coupling up to the Planck scale. We find that a successful slow-roll inflation is achievable in the Higgs-sigma field space, but under the condition that higher curvature terms are introduced to cure the tachyonic mass problems for spectator singlet scalar fields. We also discuss supersymmetry breaking and its transmission to the visible sector as a result of the couplings of the dual chiral superfields and the non-minimal gravity coupling of the Higgs fields.

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