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Wilson line inflation

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Abstract

We present a general setup for inflation in string theory where the inflaton field corresponds to Wilson lines in compact space in the presence of magnetic fluxes. T-dualities and limits on the value of the magnetic fluxes relate this system to the standard D-brane inflation scenarios, such as brane-antibrane inflation, D3/D7 brane inflation and different configurations of branes at angles. This can then be seen as a generalised approach to inflation from open string modes. Inflation ends when the Wilson lines achieve a critical value and an open string mode becomes tachyonic. Then hybrid-like inflation, including its cosmic string remnants, is realized in string theory beyond the brane annihilation picture. Our formalism can be incorporated within flux-induced moduli stabilisation mechanisms in type IIB strings. Also, contrary to the standard D-brane separation, Wilson lines can be considered in heterotic string models. We provide explicit examples to illustrate similarities and differences of our mechanism to D-brane inflation. In particular we present an example in which the η problem present in brane inflation models is absent in our case. We have examples with both blue and red tilted spectral index and remnant cosmic string tension \(G\mu \lesssim 10^{-7}\) .

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References

  1. Blanco-Pillado J.J. (2004). Racetrack inflation. JHEP 0411: 063 [arXiv:hep-th/0406230]; Inflating in a better racetrack. [arXiv:hep-th/0603129]

    Article  ADS  Google Scholar 

  2. Lalak, Z., Ross, G.G., Sarkar, S.: Racetrack inflation and assisted moduli stabilisation [arXiv:hep-th/0503178]

  3. Westphal, A.: JCAP 0511, 003 (2005) [arXiv:hep-th/0507079]

  4. Holman, R., Hutasoit, J.A.: Axionic inflation from large volume flux compactifications [arXiv:hep-th/0603246]

  5. Conlon J.P. and Quevedo F. (2006). Kaehler moduli inflation. JHEP 0601: 146

    Article  ADS  Google Scholar 

  6. Dvali G.R. and Tye S.H.H. (1999). Brane inflation. Phys. Lett. B 450: 72 [arXiv:hep-ph/9812483]

    Article  MATH  ADS  Google Scholar 

  7. Burgess C.P., Majumdar M., Nolte D., Quevedo F., Rajesh G. and Zhang R.J. (2001). The inflationary brane-antibrane universe. JHEP 0107: 047 [arXiv:hep-th/0105204]

    Article  ADS  Google Scholar 

  8. Dvali, G.R., Shafi, Q., Solganik, S.: D-brane inflation [arXiv:hep-th/0105203]

  9. Burgess C.P., Martineau P., Quevedo F., Rajesh G. and Zhang R.J. (2002). Brane antibrane inflation in orbifold and orientifold models. JHEP 0203: 052 [arXiv:hep-th/0111025]

    Article  ADS  Google Scholar 

  10. Garcia-Bellido J., Rabadan R. and Zamora F. (2002). Inflationary scenarios from branes at angles. JHEP 0201: 036

    Article  ADS  Google Scholar 

  11. Jones N., Stoica H. and Tye S.H.H. (2002). Brane interaction as the origin of inflation. JHEP 0207: 051

    Article  ADS  Google Scholar 

  12. Gomez-Reino M. and Zavala I. (2002). Recombination of intersecting D-branes and cosmological inflation. JHEP 0209: 020

    ADS  Google Scholar 

  13. Rabadan R. and Zamora F. (2002). Dilaton tadpoles and D-brane interactions in compact spaces. JHEP 0212: 052 [arXiv:hep-th/0207178]

    Article  ADS  Google Scholar 

  14. For reviews with more references see: Quevedo, F.: Class. Quant. Grav. 19, 5721 (2002) [arXiv:hep-th/ 0210292]

    Google Scholar 

  15. Linde, A.: Prospects of inflation. Phys. Scripta T117, 40 (2005) [arXiv:hep-th/0402051]

  16. Burgess C.P. (2004). Inflationary string theory?. Pramana 63: 1269 [arXiv:hep-th/0408037]

    ADS  Google Scholar 

  17. Kachru S., Kallosh R., Linde A., Maldacena J., McAllister L. and Trivedi S.P. (2003). Towards inflation in string theory. JCAP 0310: 013 [arXiv:hep-th/0308055]

    ADS  Google Scholar 

  18. Burgess C.P., Cline J.M., Stoica H. and Quevedo F. (2004). Inflation in realistic D-brane models. JHEP 0409: 033 [arXiv:hep-th/0403119]

    Article  ADS  Google Scholar 

  19. Cline J.M. and Stoica H. (2005). Multibrane inflation and dynamical flattening of the inflaton potential. Phys. Rev. D 72: 126004 [arXiv:hep-th/0508029]

    Article  ADS  Google Scholar 

  20. Hsu J.P., Kallosh R. and Prokushkin S. (2003). On brane inflation with volume stabilization. JCAP 0312, 009 [arXiv:hep-th/0311077]

    Google Scholar 

  21. Koyama, F., Tachikawa, Y., Watari, T.: Supergravity analysis of hybrid inflation model from D3-D7 system [arXiv:hep-th/0311191]

  22. Firouzjahi H. and Tye S.H.H. (2004). Closer towards inflation in string theory. Phys. Lett. B 584: 147 [arXiv:hep-th/0312020]

    Article  ADS  Google Scholar 

  23. Hsu J.P. and Kallosh R. (2004). Volume stabilization and the origin of the inflaton shift symmetry in string theory. JHEP 0404: 042 [arXiv:hep-th/0402047]

    Article  ADS  Google Scholar 

  24. Brax, Ph., van de Bruck, C., Davis, A.C., Davis, S.C.: Difficulties with D3/D7 Hybrid Inflation. (in press)

  25. Silverstein E. and Tong D. (2004). Scalar speed limits and cosmology: acceleration from D-cceleration. Phys. Rev. D 70: 103505 [arXiv:hep-th/0310221]

    Article  ADS  Google Scholar 

  26. Alishahiha M., Silverstein E. and Tong D. (2004). DBI in the sky. Phys. Rev. D 70: 123505 [arXiv:hep-th/0404084]

    Article  ADS  Google Scholar 

  27. Chen X.g. (2005). Inflation from warped space. JHEP 0508: 045 [arXiv:hep-th/0501184]

    Article  ADS  Google Scholar 

  28. Chen, X.G.: Running non-Gaussianities in DBI inflation [arXiv:astro-ph/0507053]

  29. Shandera, S.E., Tye, S.H.: Observing brane inflation. [arXiv:hep-th/0601099]

  30. Kecskemeti, S., Maiden, J., Shiu, G., Underwood, B.: arXiv:hep-th/0605189

  31. Cremades D., Quevedo F. and Sinha A. (2005). Warped tachyonic inflation in type IIB flux compactifications and the open-string completeness conjecture. JHEP 0510: 106 [arXiv:hep-th/0505252]

    Article  ADS  Google Scholar 

  32. DeWolfe O., Kachru S. and Verlinde H. (2004). The giant inflaton. JHEP 0405: 017 [arXiv:hep-th/0403123]

    Article  ADS  Google Scholar 

  33. Iizuka, N., Trivedi, S.P.: An inflationary model in string theory [arXiv:hep-th/0403203]

  34. Arkani-Hamed N., Cheng H.C., Creminelli P. and Randall L. (2003). Extranatural inflation. Phys. Rev. Lett. 90: 221302 [arXiv:hep-th/0301218]

    Article  ADS  Google Scholar 

  35. Narain K.S. (1986). New heterotic string theories in uncompactified dimensions <10. Phys. Lett. B 169: 41

    Article  ADS  Google Scholar 

  36. Narain K.S., Sarmadi M.H. and Witten E. (1987). A note on toroidal compactification of heterotic string theory. Nucl. Phys. B 279: 369

    Article  ADS  Google Scholar 

  37. Green M.B., Schwarz J.H. and Witten E. (1986). Superstring Theory. In: Loop Amplitudes, Anomalies And Phenomenology vol. 2. Cambridge University Press, Cambridge

    Google Scholar 

  38. Ibanez L.E., Nilles H.P. and Quevedo F. (1987). Orbifolds and Wilson lines. Phys. Lett. B 187: 25

    Article  ADS  Google Scholar 

  39. Ibanez L.E., Nilles H.P. and Quevedo F. (1987). Reducing the rank of the gauge group in orbifold compactifications. Phys. Lett. B 192: 332

    Article  ADS  Google Scholar 

  40. Aldazabal G., Ibanez L.E. and Quevedo F. (2000). Standard-like models with broken supersymmetry from type I string vacua. JHEP 0001: 031 [arXiv:hep-th/9909172]

    Article  ADS  Google Scholar 

  41. Aldazabal G., Ibanez L.E. and Quevedo F. (2000). A D-brane alternative to the MSSM. JHEP 0002: 015 [arXiv:hep-ph/0001083]

    Article  ADS  Google Scholar 

  42. Berg M., Haack M. and Kors B. (2005). Loop corrections to volume moduli and inflation in string theory. Phys. Rev. D 71: 026005 [arXiv:hep-th/0404087]

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  44. Johnson C.V. (2003). D-branes. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  45. Burgess C.P. and Morris T.R. (1987). Open and unoriented strings A La Polyakov. Nucl. Phys. B 291: 256

    Article  ADS  Google Scholar 

  46. Burgess C.P. and Morris T.R. (1987). Open superstrings A La Polyakov. Nucl Phys. B 291: 285

    Article  ADS  Google Scholar 

  47. Polchinski J. (1998). String Theory. Cambridge University Press, Cambridge

    Google Scholar 

  48. Joyce D. (2002). On counting special Lagrangian homology 3-spheres. Contemp. Math. 314: 125 [arXiv:hep-th/9907013]

    Google Scholar 

  49. Nakahara, M.: Geometry, Topology and Physics. Hilger, Bristol, 505 p., (1990) Graduate Student Series in Physics

  50. Kachru S., Katz S., Lawrence A.E. and McGreevy J. (2000). Mirror symmetry for open strings. Phys. Rev. D 62: 126005 [arXiv:hep-th/0006047]

    Article  ADS  Google Scholar 

  51. Arfaei H. and Sheikh Jabbari M.M. (1997). Different D-brane interactions. Phys. Lett. B 394: 288 [arXiv:hep-th/9608167]

    Article  ADS  Google Scholar 

  52. Kachru S., Schulz M.B. and Trivedi S. (2003). Moduli stabilization from fluxes in a simple IIB orientifold. JHEP 0310: 007 [arXiv:hep-th/0201028]

    Article  ADS  Google Scholar 

  53. Gomis J., Marchesano F. and Mateos D. (2005). An open string landscape. JHEP 0511: 021 [arXiv:hep-th/0506179]

    Article  ADS  Google Scholar 

  54. Camara P.G., Ibanez L.E. and Uranga A.M. (2005). Flux-induced SUSY-breaking soft terms on D7-D3 brane systems. Nucl. Phys. B 708: 268 [arXiv:hep-th/0408036]

    Article  MATH  ADS  Google Scholar 

  55. Martucci, L.: D-branes on general N = 1 backgrounds: superpotentials and D-terms [arXiv:hep-th/0602129]

  56. Ibanez L.E., Munoz C. and Rigolin S. (1999). Aspects of type I string phenomenology. Nucl. Phys. B 553: 43 [arXiv:hep-ph/9812397]

    Article  MATH  ADS  Google Scholar 

  57. Lust D., Reffert S. and Stieberger S. (2005). Flux-induced soft supersymmetry reaking in chiral type IIb orientifolds. Nucl. Phys. B 706: 3 [arXiv:hep-th/0406092]

    Article  ADS  Google Scholar 

  58. Marchesano Buznego, F.G.: Intersecting D-brane models [arXiv:hep-th/0307252]

  59. Frey A.R. and Polchinski J. (2002). N = 3 warped compactifications. Phys. Rev. D 65: 126009 [arXiv:hep-th/0201029]

    Article  ADS  Google Scholar 

  60. Jockers H. and Louis J. (2005). The effective action of D7-branes in N = 1 Calabi-Yau orientifolds. Nucl. Phys. B 705: 167 [arXiv:hep-th/0409098]

    Article  MATH  ADS  Google Scholar 

  61. Jockers H. and Louis J. (2005). D-terms and F-terms from D7-brane fluxes. Nucl. Phys. B 718: 203 [arXiv:hep-th/0502059]

    Article  MATH  ADS  Google Scholar 

  62. Kinney, W.H., Kolb, E.W., Melchiorri, A., Riotto, A.: Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data [arXiv:astro-ph/0605338]

  63. Liddle, A.R., Lyth, D.H.: Cosmological inflation and large scale structure. CUP (2000)

  64. Rigopoulos G.I., Shellard E.P.S. and Tent B.W. (2006). Large non-Gaussianity in multiple-field inflation. Phys. Rev. D 73: 083522 [arXiv:astro-ph/0506704]

    Article  ADS  Google Scholar 

  65. Rigopoulos G.I., Shellard E.P.S. and Tent B.W. (2006). Non-linear perturbations in multiple-field inflation. Phys. Rev. D 73: 083521 [arXiv:astro-ph/0504508]

    Article  ADS  Google Scholar 

  66. Aldazabal G., Franco S., Ibanez L.I., Rabadan R. and Uranga A.M. (2001). D = 4 chiral string compactifications from intersecting branes. J. Math. Phys. 42: 3103–3126 [arXiv:hep-th/0011073]

    Article  MATH  ADS  Google Scholar 

  67. Majumdar M. and Davis A.C. (2002). Cosmological creation of D-branes and anti-D-branes. JHEP 03: 056 [arXiv:hep-th/0202148]

    Article  ADS  Google Scholar 

  68. Sarangi S. and Tye S.H.H. (2002). Cosmic string production towards the end of brane inflation. Phys. Lett. B 536: 185–192 [arXiv:hep-th/0204074]

    Article  MATH  ADS  Google Scholar 

  69. Jones N.T., Stoica H. and Tye S.H. (2003). The production, spectrum and evolution of cosmic strings in brane inflation. Phys. Lett. B 563: 6–14 [arXiV:hep-th/0303269]

    Article  MATH  ADS  Google Scholar 

  70. Copeland E.J., Myers R.C. and Polchinski J. (2004). Cosmic F- and D-strings. JHEP 06: 013 [arXiv:hep-th/0312067]

    Article  ADS  Google Scholar 

  71. Shandera S., Shlaer B., Stoica H. and Tye S.H.H. (2004). Inter-brane interactions in compact spaces and brane inflation. JCAP 0402: 013 [arXiv:hep-th/0311207]

    Google Scholar 

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Avgoustidis, A., Cremades, D. & Quevedo, F. Wilson line inflation. Gen Relativ Gravit 39, 1203–1234 (2007). https://doi.org/10.1007/s10714-007-0454-y

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