From R 2 gravity to no-scale supergravity

Ellis, John; Nanopoulos, Dimitri V.; Olive, Keith A.

doi:10.1103/PhysRevD.97.043530

Title: From $R^{2}$ gravity to no-scale supergravity

Abstract

We show that $R^{2}$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU (N,1) / SU (N) × U (1) no-scale supergravity, where the conformal factor can be identified with the Kähler potential, and we review the construction of Starobinsky-like models of inflation within this framework.

Authors:: Ellis, John; Nanopoulos, Dimitri V.; Olive, Keith A.

Publication Date:: Mon Feb 26 00:00:00 EST 2018

Research Org.:: Texas A & M Univ., College Station, TX (United States); Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1422642

Alternate Identifier(s):: OSTI ID: 1501511

Grant/Contract Number:: FG02-13ER42020; SC0010813

Resource Type:: Journal Article: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 4; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Particles & Fields; Gravitation; Cosmology & Astrophysics

Citation Formats


                    Ellis, John, Nanopoulos, Dimitri V., and Olive, Keith A. From R 2 gravity to no-scale supergravity.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevD.97.043530.

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                    Ellis, John, Nanopoulos, Dimitri V., & Olive, Keith A. From R 2 gravity to no-scale supergravity.  United States.  https://doi.org/10.1103/PhysRevD.97.043530

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                    Ellis, John, Nanopoulos, Dimitri V., and Olive, Keith A. 2018.  
        "From R 2 gravity to no-scale supergravity".  United States.  https://doi.org/10.1103/PhysRevD.97.043530.

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@article{osti_1422642,

  title        = {From R 2 gravity to no-scale supergravity},

  author       = {Ellis, John and Nanopoulos, Dimitri V. and Olive, Keith A.},

  abstractNote = {We show that R2 gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU (N,1) / SU (N) × U (1) no-scale supergravity, where the conformal factor can be identified with the Kähler potential, and we review the construction of Starobinsky-like models of inflation within this framework.},

  doi          = {10.1103/PhysRevD.97.043530},

  url          = {https://www.osti.gov/biblio/1422642},
  journal      = {Physical Review. D.},

  issn         = {2470-0010},

  number       = 4,

  volume       = 97,

  place        = {United States},

  year         = {Mon Feb 26 00:00:00 EST 2018},

  month        = {Mon Feb 26 00:00:00 EST 2018}

}

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Title: From R 2 gravity to no-scale supergravity

Abstract

Citation Formats

Inflation in no-scale supergravity journal, April 2015

SU(N, 1) inflation journal, March 1985

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Vanishing scalar masses in no-scale supergravity journal, June 1986

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New models of chaotic inflation in supergravity journal, November 2010

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The road to no-scale supergravity journal, January 1987

Inflation and high-scale supersymmetry with an EeV gravitino journal, December 2017

No-scale D-term inflation with stabilized moduli journal, March 2014

Linking Starobinsky-type inflation in no-scale supergravity to MSSM journal, April 2014

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No-Scale Supergravity Realization of the Starobinsky Model of Inflation journal, September 2013

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Preserving flat directions during inflation journal, July 1995

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Planck 2015 results : XIII. Cosmological parameters journal, September 2016

Supergravity chaotic inflation and moduli stabilization journal, March 2008

Starobinsky-like inflationary models as avatars of no-scale supergravity journal, October 2013

No-scale supersymmetric standard model journal, January 1984

Induced-gravity inflation in no-scale supergravity and beyond journal, August 2014

The field equations generated by the square of the scalar curvature: solutions of Kasner type journal, May 1978

Chaotic inflation and supersymmetry breaking journal, October 2011

Phenomenological aspects of no-scale inflation models journal, October 2015

Reheating processes after Starobinsky inflation in old-minimal supergravity journal, February 2015

Resurrecting quadratic inflation in no-scale supergravity in light of BICEP2 journal, May 2014

Chaotic inflation in no-scale supergravity with string inspired moduli stabilization journal, February 2015

Starobinsky Inflation: From Non-SUSY to SUGRA Realizations journal, January 2017

Starobinsky-like inflation, supercosmology and neutrino masses in no-scale flipped SU(5) journal, July 2017

On the initial conditions for inflation with plateau potentials: the R + R 2 (super)gravity case journal, July 2015

Supergravity inflation with broken shift symmetry and large tensor-to-scalar ratio journal, February 2014

Supersymmetric inflationary cosmology journal, April 1984

Solving the η-problem in hybrid inflation with Heisenberg symmetry and stabilized modulus journal, January 2009

Non-viability of gravitational theory based on a quadratic lagrangian journal, June 1974

Candidates for the inflaton field in superstring models journal, November 1986

A no-scale inflationary model to fit them all journal, August 2014

Primordial inflation in simple supergravity journal, March 1983

Two-field analysis of no-scale supergravity inflation journal, January 2015

Yang-Mills theories with local supersymmetry: Lagrangian, transformation laws and super-Higgs effect journal, February 1983

Chaotic inflation in supergravity with Heisenberg symmetry journal, September 2009

Deforming the Starobinsky model in ghost-free higher derivative supergravities journal, August 2017

No scale SUGRA SO(10) derived Starobinsky model of inflation journal, December 2015

R2 inflation from scale invariant supergravity and anomaly free superstrings with fluxes: R2 inflation from scale invariant supergravity journal, January 2015

Large field inflation and double α-attractors journal, August 2014

Moduli backreaction and supersymmetry breaking in string-inspired inflation models journal, October 2015

Calculations of inflaton decays and reheating: with applications to no-scale inflation models journal, July 2015

On the gravitational field equations arising from the square of the gaussian curvature journal, January 1962

A maximally symmetric no-scale inflationary universe journal, February 1985

The Volkov–Akulov–Starobinsky supergravity journal, June 2014

Starobinsky-like inflation in no-scale supergravity Wess-Zumino model with Polonyi term journal, July 2017

A new type of isotropic cosmological models without singularity journal, March 1980

Planck 2015 results : XX. Constraints on inflation journal, September 2016

Chaotic inflation in supergravity journal, May 1984

No-scale supersymmetric GUTs journal, December 1984

A simple realisation of the inflationary Universe scenario in SU(1,1) supergravity journal, November 1984

Inflation from a ripple on a vanishing potential journal, September 1985

Title: From $R^{2}$ gravity to no-scale supergravity

Inflation in no-scale supergravity
journal, April 2015

SU(N, 1) inflation
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Supersymmetry Breaking in the Early Universe
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Cosmological inflation cries out for supersymmetry
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ℛ2 supergravity
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Cosmological attractors from $α$ -scale supergravity
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General inflaton potentials in supergravity
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Higher derivative supergravity is equivalent to standard supergravity coupled to matter
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Cosmological α-attractors and de Sitter landscape
journal, December 2015

No-scale ripple inflation revisited
journal, April 2014

String inflation after Planck 2013
journal, November 2013

Primordial supersymmetric inflation
journal, July 1983

Large-field inflation and supersymmetry breaking
journal, September 2014

A no-scale supergravity framework for sub-Planckian physics
journal, February 2014

No-scale inflation
journal, April 2016

Supersymmetric moduli stabilization and high-scale inflation
journal, September 2014

Phenomenological SU(1, 1) supergravity
journal, July 1984

Erratum: Linking Starobinsky-type inflation in no-scale supergravity to MSSM
journal, July 2017

Towards matter ination in heterotic string theory
journal, April 2011

Low-scale supersymmetry from inflation
journal, October 2011

Naturally vanishing cosmological constant in N=1 supergravity
journal, December 1983

Vanishing scalar masses in no-scale supergravity
journal, June 1986

Dark matter and inflation in R + ζR 2 supergravity
journal, March 2017

Spontaneous symmetry breaking and Higgs effect in supergravity without cosmological constant
journal, January 1979

New models of chaotic inflation in supergravity
journal, November 2010

Classical gravity with higher derivatives
journal, April 1978

Fourth-order gravity as general relativity plus matter
journal, September 1984

The road to no-scale supergravity
journal, January 1987

Inflation and high-scale supersymmetry with an EeV gravitino
journal, December 2017

No-scale D-term inflation with stabilized moduli
journal, March 2014

Linking Starobinsky-type inflation in no-scale supergravity to MSSM
journal, April 2014

Chaotic inflation and baryogenesis in supergravity
journal, August 1994

No-Scale Supergravity Realization of the Starobinsky Model of Inflation
journal, September 2013

The imaginary Starobinsky model
journal, May 2014

Starobinsky-like inflation and neutrino masses in a no-scale SO(10) model
journal, November 2016

Preserving flat directions during inflation
journal, July 1995

Is imaginary Starobinsky model real?
journal, July 2014

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

Supergravity chaotic inflation and moduli stabilization
journal, March 2008

Starobinsky-like inflationary models as avatars of no-scale supergravity
journal, October 2013

No-scale supersymmetric standard model
journal, January 1984

Induced-gravity inflation in no-scale supergravity and beyond
journal, August 2014

The field equations generated by the square of the scalar curvature: solutions of Kasner type
journal, May 1978

Chaotic inflation and supersymmetry breaking
journal, October 2011

Phenomenological aspects of no-scale inflation models
journal, October 2015

Reheating processes after Starobinsky inflation in old-minimal supergravity
journal, February 2015

Resurrecting quadratic inflation in no-scale supergravity in light of BICEP2
journal, May 2014

Chaotic inflation in no-scale supergravity with string inspired moduli stabilization
journal, February 2015

Starobinsky Inflation: From Non-SUSY to SUGRA Realizations
journal, January 2017

Starobinsky-like inflation, supercosmology and neutrino masses in no-scale flipped SU(5)
journal, July 2017

On the initial conditions for inflation with plateau potentials: the R + R ² (super)gravity case
journal, July 2015

Supergravity inflation with broken shift symmetry and large tensor-to-scalar ratio
journal, February 2014

Supersymmetric inflationary cosmology
journal, April 1984

Solving the η-problem in hybrid inflation with Heisenberg symmetry and stabilized modulus
journal, January 2009

Non-viability of gravitational theory based on a quadratic lagrangian
journal, June 1974

Candidates for the inflaton field in superstring models
journal, November 1986

A no-scale inflationary model to fit them all
journal, August 2014

Primordial inflation in simple supergravity
journal, March 1983

Two-field analysis of no-scale supergravity inflation
journal, January 2015

Yang-Mills theories with local supersymmetry: Lagrangian, transformation laws and super-Higgs effect
journal, February 1983

Chaotic inflation in supergravity with Heisenberg symmetry
journal, September 2009

Deforming the Starobinsky model in ghost-free higher derivative supergravities
journal, August 2017

No scale SUGRA SO(10) derived Starobinsky model of inflation
journal, December 2015

R2 inflation from scale invariant supergravity and anomaly free superstrings with fluxes: R2 inflation from scale invariant supergravity
journal, January 2015

Large field inflation and double α-attractors
journal, August 2014

Moduli backreaction and supersymmetry breaking in string-inspired inflation models
journal, October 2015

Calculations of inflaton decays and reheating: with applications to no-scale inflation models
journal, July 2015

On the gravitational field equations arising from the square of the gaussian curvature
journal, January 1962

A maximally symmetric no-scale inflationary universe
journal, February 1985

The Volkov–Akulov–Starobinsky supergravity
journal, June 2014

Starobinsky-like inflation in no-scale supergravity Wess-Zumino model with Polonyi term
journal, July 2017

A new type of isotropic cosmological models without singularity
journal, March 1980

Planck 2015 results : XX. Constraints on inflation
journal, September 2016

Chaotic inflation in supergravity
journal, May 1984

No-scale supersymmetric GUTs
journal, December 1984

A simple realisation of the inflationary Universe scenario in SU(1,1) supergravity
journal, November 1984

Inflation from a ripple on a vanishing potential
journal, September 1985

Superconformal generalizations of the Starobinsky model
journal, June 2013

Towards a formulation of $f (R)$ supergravity
journal, November 2015