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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:
; ;
Publication Date:
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:
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.
Ellis, John, Nanopoulos, Dimitri V., & Olive, Keith A. From R 2 gravity to no-scale supergravity. United States. doi:10.1103/PhysRevD.97.043530.
Ellis, John, Nanopoulos, Dimitri V., and Olive, Keith A. Mon . "From R 2 gravity to no-scale supergravity". United States. doi:10.1103/PhysRevD.97.043530.
@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},
journal = {Physical Review D},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.043530

Citation Metrics:
Cited by: 2 works
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Works referenced in this record:

Inflation in no-scale supergravity
journal, April 2015


SU(N, 1) inflation
journal, March 1985


Supersymmetry Breaking in the Early Universe
journal, July 1995


Cosmological inflation cries out for supersymmetry
journal, December 1982


ℛ2 supergravity
journal, August 2015

  • Ferrara, Sergio; Kehagias, Alex; Porrati, Massimo
  • Journal of High Energy Physics, Vol. 2015, Issue 8
  • DOI: 10.1007/JHEP08(2015)001

Cosmological attractors from α -scale supergravity
journal, August 2015


General inflaton potentials in supergravity
journal, February 2011


Higher derivative supergravity is equivalent to standard supergravity coupled to matter
journal, May 1987


Cosmological α-attractors and de Sitter landscape
journal, December 2015


No-scale ripple inflation revisited
journal, April 2014

  • Li, Tianjun; Li, Zhijin; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 04
  • DOI: 10.1088/1475-7516/2014/04/018

String inflation after Planck 2013
journal, November 2013


Primordial supersymmetric inflation
journal, July 1983


Large-field inflation and supersymmetry breaking
journal, September 2014

  • Buchmüller, Wilfried; Dudas, Emilian; Heurtier, Lucien
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)053

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

  • Antusch, Stefan; Dutta, Koushik; Erdmenger, Johanna
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)065

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

  • Stelle, K. S.
  • General Relativity and Gravitation, Vol. 9, Issue 4
  • DOI: 10.1007/BF00760427

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

  • Ellis, John; Garcia, Marcos A. G.; Nagata, Natsumi
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 11
  • DOI: 10.1088/1475-7516/2016/11/018

Preserving flat directions during inflation
journal, July 1995


Is imaginary Starobinsky model real?
journal, July 2014

  • Kallosh, Renata; Linde, Andrei; Vercnocke, Bert
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
  • DOI: 10.1088/1475-7516/2014/07/053

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

  • Ellis, John; Nanopoulos, Dimitri V.; Olive, Keith A.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
  • DOI: 10.1088/1475-7516/2013/10/009

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

  • Ellis, John; Garcia, Marcos A. G.; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10
  • DOI: 10.1088/1475-7516/2015/10/003

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

  • Terada, Takahiro; Watanabe, Yuki; Yamada, Yusuke
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)105

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

  • Ellis, John; García, Marcos A. G.; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
  • DOI: 10.1088/1475-7516/2014/05/037

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

  • Pallis, Constantinos; Toumbas, Nicolaos
  • Advances in High Energy Physics, Vol. 2017
  • DOI: 10.1155/2017/6759267

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

  • Ellis, John; Garcia, Marcos A. G.; Nagata, Natsumi
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 07
  • DOI: 10.1088/1475-7516/2017/07/006

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

  • Li, Tianjun; Li, Zhijin; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 02
  • DOI: 10.1088/1475-7516/2014/02/028

Supersymmetric inflationary cosmology
journal, April 1984


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

  • Antusch, Stefan; Bastero-Gil, Mar; Dutta, Koushik
  • Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 01
  • DOI: 10.1088/1475-7516/2009/01/040

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

  • Ellis, John; García, Marcos A. G.; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 08
  • DOI: 10.1088/1475-7516/2014/08/044

Primordial inflation in simple supergravity
journal, March 1983


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

  • Ellis, John; García, Marcos A. G.; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 01
  • DOI: 10.1088/1475-7516/2015/01/010

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

  • Kounnas, Costas; Lüst, Dieter; Toumbas, Nicolaos
  • Fortschritte der Physik, Vol. 63, Issue 1
  • DOI: 10.1002/prop.201400073

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

  • Kallosh, Renata; Linde, Andrei; Roest, Diederik
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)052

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

  • Ellis, John; Garcia, Marcos A. G.; Nanopoulos, Dimitri V.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
  • DOI: 10.1088/1475-7516/2015/07/050

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

  • Romão, Miguel Crispim; King, Stephen F.
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)033

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


On the Starobinsky model of inflation from supergravity
journal, November 2013


The imaginary Starobinsky model and higher curvature corrections: The imaginary Starobinsky model
journal, January 2015

  • Ferrara, Sergio; Kehagias, Alex; Riotto, Antonio
  • Fortschritte der Physik, Vol. 63, Issue 1
  • DOI: 10.1002/prop.201400070

Minimal supergravity models of inflation
journal, October 2013


Challenges for large-field inflation and moduli stabilization
journal, April 2015

  • Buchmüller, Wilfried; Dudas, Emilian; Heurtier, Lucien
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)058

Superconformal inflationary α-attractors
journal, November 2013

  • Kallosh, Renata; Linde, Andrei; Roest, Diederik
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)198

Complexified Starobinsky inflation in supergravity in the light of recent BICEP2 result
journal, June 2014


    Works referencing / citing this record:

    Inflation and leptogenesis in high-scale supersymmetry
    journal, January 2020


    Generalized dilaton–axion models of inflation, de Sitter vacua and spontaneous SUSY breaking in supergravity
    journal, August 2019