Skip to main content
Log in

Moduli stabilization and inflationary cosmology with poly-instantons in type IIB orientifolds

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

Equipped with concrete examples of Type IIB orientifolds featuring polyinstanton corrections to the superpotential, the effects on moduli stabilization and inflationary cosmology are analyzed. Working in the framework of the LARGE volume scenario, the Kähler modulus related to the size of the four-cycle supporting the poly-instanton contributes sub-dominantly to the scalar potential. It is shown that this Kähler modulus gets stabilized and, by displacing it from its minimum, can play the role of an inflaton. Subsequent cosmological implications are discussed and compared to experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Graña, Flux compactifications in string theory: A Comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [INSPIRE].

    Article  ADS  Google Scholar 

  2. R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1 [hep-th/0610327] [INSPIRE].

    Article  ADS  Google Scholar 

  3. S. Gukov, C. Vafa and E. Witten, CFTs from Calabi-Yau four folds, Nucl. Phys. B 584 (2000) 69 [Erratum ibid. B 608 (2001) 477] [hep-th/9906070] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  5. V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. K. Bobkov, V. Braun, P. Kumar and S. Raby, Stabilizing All Kähler Moduli in Type IIB Orientifolds, JHEP 12 (2010) 056 [arXiv:1003.1982] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. E. Witten, Nonperturbative superpotentials in string theory, Nucl. Phys. B 474 (1996) 343 [hep-th/9604030] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and αcorrections to flux induced potentials, JHEP 06 (2002) 060 [hep-th/0204254] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. A. Westphal, De Sitter string vacua from Kähler uplifting, JHEP 03 (2007) 102 [hep-th/0611332] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. C. Burgess, R. Kallosh and F. Quevedo, De Sitter string vacua from supersymmetric D terms, JHEP 10 (2003) 056 [hep-th/0309187] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  11. A. Saltman and E. Silverstein, The Scaling of the no scale potential and de Sitter model building, JHEP 11 (2004) 066 [hep-th/0402135] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. M. Cicoli, A. Maharana, F. Quevedo and C. Burgess, De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects, JHEP 06 (2012) 011 [arXiv:1203.1750] [INSPIRE].

    Article  ADS  Google Scholar 

  13. R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-Brane Instantons in Type II Orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [INSPIRE].

    Article  ADS  Google Scholar 

  14. T.W. Grimm, M. Kerstan, E. Palti and T. Weigand, On Fluxed Instantons and Moduli Stabilisation in IIB Orientifolds and F-theory, Phys. Rev. D 84 (2011) 066001 [arXiv:1105.3193] [INSPIRE].

    ADS  Google Scholar 

  15. A.H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems, Phys. Rev. D 23 (1981) 347 [INSPIRE].

    ADS  Google Scholar 

  16. A.D. Linde, A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems, Phys. Lett. B 108 (1982) 389 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  17. S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. G. Dvali and S.H. Tye, Brane inflation, Phys. Lett. B 450 (1999) 72 [hep-ph/9812483] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  19. K. Dasgupta, J.P. Hsu, R. Kallosh, A.D. Linde and M. Zagermann, D3/D7 brane inflation and semilocal strings, JHEP 08 (2004) 030 [hep-th/0405247] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. D. Baumann, A. Dymarsky, S. Kachru, I.R. Klebanov and L. McAllister, Compactification Effects in D-brane Inflation, Phys. Rev. Lett. 104 (2010) 251602 [arXiv:0912.4268] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. J.P. Conlon and F. Quevedo, Kähler moduli inflation, JHEP 01 (2006) 146 [hep-th/0509012] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. J.P. Conlon, R. Kallosh, A.D. Linde and F. Quevedo, Volume Modulus Inflation and the Gravitino Mass Problem, JCAP 09 (2008) 011 [arXiv:0806.0809] [INSPIRE].

    Article  ADS  Google Scholar 

  23. M. Cicoli, C. Burgess and F. Quevedo, Fibre Inflation: Observable Gravity Waves from IIB String Compactifications, JCAP 03 (2009) 013 [arXiv:0808.0691] [INSPIRE].

    Article  ADS  Google Scholar 

  24. M. Cicoli and F. Quevedo, String moduli inflation: An overview, Class. Quant. Grav. 28 (2011) 204001 [arXiv:1108.2659] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. S. Dimopoulos, S. Kachru, J. McGreevy and J.G. Wacker, N-flation, JCAP 08 (2008) 003 [hep-th/0507205] [INSPIRE].

    Article  ADS  Google Scholar 

  26. J. Blanco-Pillado et al., Racetrack inflation, JHEP 11 (2004) 063 [hep-th/0406230] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. J. Blanco-Pillado et al., Inflating in a better racetrack, JHEP 09 (2006) 002 [hep-th/0603129] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  28. R. Kallosh, N. Sivanandam and M. Soroush, Axion Inflation and Gravity Waves in String Theory, Phys. Rev. D 77 (2008) 043501 [arXiv:0710.3429] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  29. T.W. Grimm, Axion inflation in type-II string theory, Phys. Rev. D 77 (2008) 126007 [arXiv:0710.3883] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  30. A. Misra and P. Shukla, Large Volume Axionic Swiss-Cheese Inflation, Nucl. Phys. B 800 (2008) 384 [arXiv:0712.1260] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  31. L. McAllister, E. Silverstein and A. Westphal, Gravity Waves and Linear Inflation from Axion Monodromy, Phys. Rev. D 82 (2010) 046003 [arXiv:0808.0706] [INSPIRE].

    ADS  Google Scholar 

  32. R. Blumenhagen and M. Schmidt-Sommerfeld, Power Towers of String Instantons for N = 1 Vacua, JHEP 07 (2008) 027 [arXiv:0803.1562] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  33. C. Petersson, P. Soler and A.M. Uranga, D-instanton and polyinstanton effects from type-ID0-brane loops, JHEP 06 (2010) 089 [arXiv:1001.3390] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  34. R. Blumenhagen, S. Moster and E. Plauschinn, String GUT Scenarios with Stabilised Moduli, Phys. Rev. D 78 (2008) 066008 [arXiv:0806.2667] [INSPIRE].

    ADS  Google Scholar 

  35. M. Cicoli, C. Burgess and F. Quevedo, Anisotropic Modulus Stabilisation: Strings at LHC Scales with Micron-sized Extra Dimensions, JHEP 10 (2011) 119 [arXiv:1105.2107] [INSPIRE].

    Article  ADS  Google Scholar 

  36. M. Cicoli, F.G. Pedro and G. Tasinato, Poly-instanton Inflation, JCAP 12 (2011) 022 [arXiv:1110.6182] [INSPIRE].

    Article  ADS  Google Scholar 

  37. M. Cicoli, G. Tasinato, I. Zavala, C. Burgess and F. Quevedo, Modulated Reheating and Large Non-Gaussianity in String Cosmology, JCAP 05 (2012) 039 [arXiv:1202.4580] [INSPIRE].

    Article  ADS  Google Scholar 

  38. M. Cicoli, F.G. Pedro and G. Tasinato, Natural Quintessence in String Theory, JCAP 07 (2012) 044 [arXiv:1203.6655] [INSPIRE].

    Article  ADS  Google Scholar 

  39. R. Blumenhagen, X. Gao, T. Rahn and P. Shukla, A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds, JHEP 06 (2012) 162 [arXiv:1205.2485] [INSPIRE].

    Article  ADS  Google Scholar 

  40. J.P. Conlon, F. Quevedo and K. Suruliz, Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking, JHEP 08 (2005) 007 [hep-th/0505076] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  41. M. Cicoli and A. Mazumdar, Inflation in string theory: A Graceful exit to the real world, Phys. Rev. D 83 (2011) 063527 [arXiv:1010.0941] [INSPIRE].

    ADS  Google Scholar 

  42. J.P. Conlon and F. Quevedo, Astrophysical and cosmological implications of large volume string compactifications, JCAP 08 (2007) 019 [arXiv:0705.3460] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  43. L. Anguelova, V. Calo and M. Cicoli, LARGE Volume String Compactifications at Finite Temperature, JCAP 10 (2009) 025 [arXiv:0904.0051] [INSPIRE].

    Article  ADS  Google Scholar 

  44. P. Shukla, Moduli Thermalization and Finite Temperature Effects inBigDivisor Large Volume D3/D7 Swiss-Cheese Compactification, JHEP 01 (2011) 088 [arXiv:1010.5121] [INSPIRE].

    Article  ADS  Google Scholar 

  45. M. Cicoli and A. Mazumdar, Reheating for Closed String Inflation, JCAP 09 (2010) 025 [arXiv:1005.5076] [INSPIRE].

    Article  ADS  Google Scholar 

  46. R. Blumenhagen, S. Moster and E. Plauschinn, Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds, JHEP 01 (2008) 058 [arXiv:0711.3389] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  47. M. Berg, M. Haack and E. Pajer, Jumping Through Loops: On Soft Terms from Large Volume Compactifications, JHEP 09 (2007) 031 [arXiv:0704.0737] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xin Gao.

Additional information

ArXiv ePrint: 1208.1160

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blumenhagen, R., Gao, X., Rahn, T. et al. Moduli stabilization and inflationary cosmology with poly-instantons in type IIB orientifolds. J. High Energ. Phys. 2012, 101 (2012). https://doi.org/10.1007/JHEP11(2012)101

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP11(2012)101

Keywords

Navigation