Deriving the inflaton in compactified M-theory with a de Sitter vacuum

Kane, Gordon; Winkler, Martin Wolfgang

doi:10.1103/PhysRevD.100.066005

Title: Deriving the inflaton in compactified M-theory with a de Sitter vacuum

Abstract

Compactifying M-theory on a manifold of G₂ holonomy gives a UV complete 4D theory. It is supersymmetric, with soft supersymmetry breaking via gaugino condensation that simultaneously stabilizes all moduli and generates a hierarchy between the Planck and the Fermi scale. It generically has gauge matter, chiral fermions, and several other important features of our world. Here we show that the theory also contains a successful inflaton, which is a linear combination of moduli closely aligned with the overall volume modulus of the compactified G₂ manifold. The scheme does not rely on ad hoc assumptions, but derives from an effective quantum theory of gravity. Inflation arises near an inflection point in the potential which can be deformed into a local minimum. This implies that a de Sitter vacuum can occur in the moduli potential even without uplifting. Generically present charged hidden sector matter generates a de Sitter vacuum as well.

Authors:: Kane, Gordon; Winkler, Martin Wolfgang

Publication Date:: 2019-09-04

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Swedish Research Council (SRC)

OSTI Identifier:: 1560306

Alternate Identifier(s):: OSTI ID: 1610967; OSTI ID: 1648133

Grant/Contract Number:: SC0007859; 638-2013-8993

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 6; 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; Astronomy & Astrophysics; Physics; Inflation; String phenomenology

Citation Formats


                    Kane, Gordon, and Winkler, Martin Wolfgang. Deriving the inflaton in compactified M-theory with a de Sitter vacuum.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.066005.

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                    Kane, Gordon, & Winkler, Martin Wolfgang. Deriving the inflaton in compactified M-theory with a de Sitter vacuum.  United States.  https://doi.org/10.1103/PhysRevD.100.066005

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                    Kane, Gordon, and Winkler, Martin Wolfgang. Wed .  
"Deriving the inflaton in compactified M-theory with a de Sitter vacuum".  United States.  https://doi.org/10.1103/PhysRevD.100.066005.

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@article{osti_1560306,

  title        = {Deriving the inflaton in compactified M-theory with a de Sitter vacuum},

  author       = {Kane, Gordon and Winkler, Martin Wolfgang},

  abstractNote = {Compactifying M-theory on a manifold of G2 holonomy gives a UV complete 4D theory. It is supersymmetric, with soft supersymmetry breaking via gaugino condensation that simultaneously stabilizes all moduli and generates a hierarchy between the Planck and the Fermi scale. It generically has gauge matter, chiral fermions, and several other important features of our world. Here we show that the theory also contains a successful inflaton, which is a linear combination of moduli closely aligned with the overall volume modulus of the compactified G2 manifold. The scheme does not rely on ad hoc assumptions, but derives from an effective quantum theory of gravity. Inflation arises near an inflection point in the potential which can be deformed into a local minimum. This implies that a de Sitter vacuum can occur in the moduli potential even without uplifting. Generically present charged hidden sector matter generates a de Sitter vacuum as well.},

  doi          = {10.1103/PhysRevD.100.066005},

  journal      = {Physical Review D},

  number       = 6,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {9}

}

Copy to clipboard

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Works referencing / citing this record:

Baryogenesis from a modulus dominated universe
journal, February 2020

Kane, Gordon; Winkler, Martin Wolfgang
Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 02
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Title: Deriving the inflaton in compactified M-theory with a de Sitter vacuum

Abstract

Citation Formats

Volume modulus inflation and the gravitino mass problem journal, September 2008

De Sitter vacua in no-scale supergravities and Calabi-Yau string models journal, June 2008

General inflaton potentials in supergravity journal, February 2011

de Sitter vacua from matter superpotentials journal, May 2006

Volume modulus inflation and a low scale of SUSY breaking journal, July 2008

Naturalness versus supersymmetric non-renormalization theorems journal, December 1993

Model-independent analysis of soft terms in effective supergravity and in string theory journal, June 1993

Higgs mass prediction for realistic string / M theory vacua journal, April 2012

Moduli Kähler potential for M theory on a G 2 manifold journal, March 2004

Mirage pattern from the heterotic string journal, May 2008

Gravity waves and the LHC: towards high-scale inflation with low-energy SUSY journal, June 2010

Accidental inflation in string theory journal, March 2008

Kahler independence of the G 2-MSSM journal, September 2010

Volume modulus inflection point inflation and the gravitino mass problem journal, February 2009

G 2 -MSSM: An M theory motivated model of particle physics journal, September 2008

A General Analytic Formula for the Spectral Index of the Density Perturbations Produced during Inflation journal, January 1996

Exact results on the space of vacua of four-dimensional SUSY gauge theories journal, June 1994

Non-thermal dark matter and the moduli problem in string frameworks journal, June 2008

A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G 2 Holonomy journal, July 2002

Dilaton destabilization at high temperature journal, November 2004

String universality journal, July 2001

Natural inflation and low energy supersymmetry journal, June 2015

Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem journal, November 2004

Erratum: Fate of the false vacuum: semiclassical theory journal, August 1977

De Sitter string vacua from Kähler uplifting journal, March 2007

Explaining the electroweak scale and stabilizing moduli in M theory journal, December 2007

Landscape, the Scale of SUSY Breaking, and Inflation journal, December 2004

Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem journal, February 2001

de Sitter vacua in string theory journal, August 2003

Statistics of M theory vacua journal, June 2005

Fate of the false vacuum: Semiclassical theory journal, May 1977

Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications journal, March 2005

Locally stable non-supersymmetric Minkowski vacua in supergravity journal, May 2006

An M theory solution to the strong CP-problem, and constraints on the axiverse journal, November 2010

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

Strong moduli stabilization and phenomenology journal, January 2013

Baryogenesis from a modulus dominated universe journal, February 2020

Volume modulus inflation and the gravitino mass problem
journal, September 2008

De Sitter vacua in no-scale supergravities and Calabi-Yau string models
journal, June 2008

General inflaton potentials in supergravity
journal, February 2011

de Sitter vacua from matter superpotentials
journal, May 2006

Volume modulus inflation and a low scale of SUSY breaking
journal, July 2008

Naturalness versus supersymmetric non-renormalization theorems
journal, December 1993

Model-independent analysis of soft terms in effective supergravity and in string theory
journal, June 1993

Higgs mass prediction for realistic $string / M$ theory vacua
journal, April 2012

Moduli Kähler potential for M theory on a $G_{2}$ manifold
journal, March 2004

Mirage pattern from the heterotic string
journal, May 2008

Gravity waves and the LHC: towards high-scale inflation with low-energy SUSY
journal, June 2010

Accidental inflation in string theory
journal, March 2008

Kahler independence of the G 2-MSSM
journal, September 2010

Volume modulus inflection point inflation and the gravitino mass problem
journal, February 2009

$G_{2}$ -MSSM: An $M$ theory motivated model of particle physics
journal, September 2008

A General Analytic Formula for the Spectral Index of the Density Perturbations Produced during Inflation
journal, January 1996

Exact results on the space of vacua of four-dimensional SUSY gauge theories
journal, June 1994

Non-thermal dark matter and the moduli problem in string frameworks
journal, June 2008

A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G ₂ Holonomy
journal, July 2002

Dilaton destabilization at high temperature
journal, November 2004

String universality
journal, July 2001

Natural inflation and low energy supersymmetry
journal, June 2015

Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem
journal, November 2004

Erratum: Fate of the false vacuum: semiclassical theory
journal, August 1977

De Sitter string vacua from Kähler uplifting
journal, March 2007

Explaining the electroweak scale and stabilizing moduli in $M$ theory
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Landscape, the Scale of SUSY Breaking, and Inflation
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Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem
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de Sitter vacua in string theory
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Statistics of M theory vacua
journal, June 2005

Fate of the false vacuum: Semiclassical theory
journal, May 1977

Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
journal, March 2005

Locally stable non-supersymmetric Minkowski vacua in supergravity
journal, May 2006

An M theory solution to the strong CP-problem, and constraints on the axiverse
journal, November 2010

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

Strong moduli stabilization and phenomenology
journal, January 2013

Baryogenesis from a modulus dominated universe
journal, February 2020