Skip to main content

Introduction to Cosmic F- and D-Strings

  • Conference paper
String Theory: From Gauge Interactions to Cosmology

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 208))

Abstract

In these lectures I discuss the possibility that superstrings of cosmic length might exist and be observable. I first review the original idea of cosmic strings arising as gauge theory solitons, and discuss in particular their network properties and the observational bounds that rule out cosmic strings as the principal origin of structure in our universe. I then consider cosmic superstrings, including the ‘fundamental’ F-strings and also D-strings and strings arising from wrapped branes. I discuss the conditions under which these will exist and be observable, and ways in which different kinds of string might be distinguished. We will see that each of these issues is model-dependent, but that some of the simplest models of inflation in string theory do lead to cosmic superstrings. Moreover, these could be the first objects seen in gravitational wave astronomy, and might have distinctive network properties.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Witten, Phys. Lett. B153, 243 (1985).

    MathSciNet  ADS  Google Scholar 

  2. N. Jones, H. Stoica, and S. H. H. Tye, JHEP 07, 051 (2002), hep-th/0203163.

    Article  MathSciNet  ADS  Google Scholar 

  3. S. Sarangi and S. H. H. Tye, Phys. Lett. B536, 185 (2002), hep-th/0204074.

    ADS  Google Scholar 

  4. J. Polchinski, arXiv:hep-th/0410082.

    Google Scholar 

  5. A. Vilenkin and E. Shellard, Cosmic strings and other topological defects (Cambridge Univ. Press 1994).

    Google Scholar 

  6. M. B. Hindmarsh and T. W. B. Kibble, Rept. Prog. Phys. 58, 477 (1995), hep-ph/9411342.

    Article  MathSciNet  ADS  Google Scholar 

  7. T. W. B. Kibble, arXiv:astro-ph/0410073.

    Google Scholar 

  8. A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).

    Google Scholar 

  9. H. B. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973).

    Article  ADS  Google Scholar 

  10. T. W. B. Kibble, J. Phys. A9, 1387 (1976).

    ADS  Google Scholar 

  11. E. Witten, Nucl. Phys. B249, 557 (1985).

    Article  ADS  Google Scholar 

  12. E. P. S. Shellard, Nucl. Phys. B283, 624 (1987).

    Article  ADS  Google Scholar 

  13. R. A. Matzner, Computers in Physics 2, 51 (1988).

    ADS  Google Scholar 

  14. K. J. M. Moriarty, E. Myers, and C. Rebbi, Phys. Lett. B207, 411 (1988).

    ADS  Google Scholar 

  15. A. Albrecht and N. Turok, Phys. Rev. D 40, 973 (1989).

    Article  ADS  Google Scholar 

  16. D. P. Bennett and F. R. Bouchet, Phys. Rev. D 41, 2408 (1990); PUPT-90-1162, Based on Invited talks given at Cosmic String Workshop, Cambridge, England, Jul 2–7, 1989.

    Article  ADS  Google Scholar 

  17. B. Allen and E. P. S. Shellard, Phys. Rev. Lett. 64, 119 (1990).

    Article  ADS  Google Scholar 

  18. X. Siemens, K. D. Olum and A. Vilenkin, Phys. Rev. D 66, 043501 (2002) [arXiv:gr-qc/0203006].

    Article  ADS  Google Scholar 

  19. Y. B. Zeldovich and M. Y. Khlopov, Phys. Lett. B 79, 239 (1978).

    Article  ADS  Google Scholar 

  20. J. P. Preskill, Phys. Rev. Lett. 43, 1365 (1979).

    Article  ADS  Google Scholar 

  21. J. Polchinski, Int. J. Mod. Phys. A19S1, 145 (2004), hep-th/0304042.

    MathSciNet  Google Scholar 

  22. A. H. Guth, Phys. Rev. D 23, 347 (1981).

    Article  ADS  Google Scholar 

  23. Y. B. Zeldovich, Mon. Not. Roy. Astron. Soc. 192, 663 (1980).

    ADS  Google Scholar 

  24. A. Vilenkin, Phys. Rev. Lett. 46, 1169 (1981).

    Article  ADS  Google Scholar 

  25. L. Pogosian, S. H. H. Tye, I. Wasserman, and M. Wyman, Phys. Rev. D68, 023506 (2003), hep-th/0304188.

    ADS  Google Scholar 

  26. L. Pogosian, M. C. Wyman, and I. Wasserman, astro-ph/0403268.

    Google Scholar 

  27. E. Jeong and G. F. Smoot, astro-ph/0406432.

    Google Scholar 

  28. A. Lo and E. Wright, in preparation (unpublished).

    Google Scholar 

  29. V. M. Kaspi, J. H. Taylor and M. F. Ryba, Astrophys. J. 428, 713 (1994).

    Article  ADS  Google Scholar 

  30. S. E. Thorsett and R. J. Dewey, Phys. Rev. D 53, 3468 (1996).

    Article  ADS  Google Scholar 

  31. M. P. McHugh, G. Zalamansky, F. Vernotte and E. Lantz, Phys. Rev. D 54, 5993 (1996).

    Article  ADS  Google Scholar 

  32. A. N. Lommen, astro-ph/0208572.

    Google Scholar 

  33. M. Sazhin et al., Mon. Not. Roy. Astron. Soc. 343, 353 (2003), astro-ph/0302547.

    Article  ADS  Google Scholar 

  34. M. V. Sazhin et al., (2004), astro-ph/0406516.

    Google Scholar 

  35. R. E. Schild, I. S. Masnyak, B. I. Hnatyk, and V. I. Zhdanov, (2004), astro-ph/0406434.

    Google Scholar 

  36. J. Polchinski, String theory. Vol. 2: Superstring theory and beyond (Cambridge, UK: Univ. Pr., ADDRESS, 1998), p. 531.

    Google Scholar 

  37. E. Witten, Nucl. Phys. B471, 135 (1996), hep-th/9602070.

    Article  MathSciNet  ADS  Google Scholar 

  38. N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phys. Lett. B429, 263 (1998), hep-ph/9803315.

    ADS  Google Scholar 

  39. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phys. Lett. B436, 257 (1998), hep-ph/9804398.

    ADS  Google Scholar 

  40. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999), hep-ph/9905221.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. S. B. Giddings, S. Kachru, and J. Polchinski, Phys. Rev. D66, 106006 (2002), hep-th/0105097.

    MathSciNet  ADS  Google Scholar 

  42. G. R. Dvali and S. H. H. Tye, Phys. Lett. B450, 72 (1999), hep-ph/9812483.

    MathSciNet  ADS  Google Scholar 

  43. S. H. S. Alexander, Phys. Rev. D65, 023507 (2002), hep-th/0105032.

    MathSciNet  ADS  Google Scholar 

  44. C. P. Burgess et al., JHEP 07, 047 (2001), hep-th/0105204.

    Article  MathSciNet  ADS  Google Scholar 

  45. G. R. Dvali, Q. Shafi, and S. Solganik, hep-th/0105203.

    Google Scholar 

  46. S. Kachru, R. Kallosh, A. Linde and S. P. Trivedi, Phys. Rev. D 68, 046005 (2003) [arXiv:hep-th/0301240].

    Article  MathSciNet  ADS  Google Scholar 

  47. E. Silverstein, arXiv:hep-th/0405068.

    Google Scholar 

  48. S. Kachru et al., JCAP 0310, 013 (2003), hep-th/0308055.

    MathSciNet  ADS  Google Scholar 

  49. I. R. Klebanov and M. J. Strassler, JHEP 08, 052 (2000), hep-th/0007191.

    Article  MathSciNet  ADS  Google Scholar 

  50. P. Candelas and X. C. de la Ossa, Nucl. Phys. B 342, 246 (1990).

    Article  ADS  Google Scholar 

  51. N. T. Jones, H. Stoica, and S. H. H. Tye, Phys. Lett. B563, 6 (2003), hep-th/0303269.

    ADS  Google Scholar 

  52. R. Jeannerot, J. Rocher and M. Sakellariadou, Phys. Rev. D 68, 103514 (2003) [arXiv:hep-ph/0308134].

    Article  ADS  Google Scholar 

  53. A. Sen, JHEP 09, 023 (1998), hep-th/9808141.

    Article  MATH  ADS  Google Scholar 

  54. E. Witten, JHEP 12, 019 (1998), hep-th/9810188.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  55. G. Dvali and A. Vilenkin, JCAP 0403, 010 (2004), hep-th/0312007.

    MathSciNet  ADS  Google Scholar 

  56. E. J. Copeland, R. C. Myers, and J. Polchinski, JHEP 06, 013 (2004), hep-th/0312067.

    Article  MathSciNet  ADS  Google Scholar 

  57. N. Barnaby, A. Berndsen, J. M. Cline and H. Stoica, arXiv:hep-th/0412095.

    Google Scholar 

  58. N. Iizuka and S. P. Trivedi, Phys. Rev. D 70, 043519 (2004) [arXiv:hep-th/0403203].

    Article  MathSciNet  ADS  Google Scholar 

  59. A. D. Linde, Phys. Rev. D49, 748 (1994), astro-ph/9307002.

    ADS  Google Scholar 

  60. J. Yokoyama, Phys. Rev. Lett. 63, 712 (1989).

    Article  ADS  Google Scholar 

  61. L. Kofman, A. D. Linde, and A. A. Starobinsky, Phys. Rev. Lett. 76, 1011 (1996), hep-th/9510119.

    Article  ADS  Google Scholar 

  62. I. Tkachev, S. Khlebnikov, L. Kofman, and A. D. Linde, Phys. Lett. B440, 262 (1998), hep-ph/9805209.

    ADS  Google Scholar 

  63. J. Urrestilla, A. Achucarro, and A. C. Davis, Phys. Rev. Lett. 92, 251302 (2004), hep-th/0402032.

    Article  ADS  Google Scholar 

  64. T. Watari and T. Yanagida, Phys. Lett. B589, 71 (2004), hep-ph/0402125.

    ADS  Google Scholar 

  65. K. Dasgupta et al., JHEP 08, 030 (2004), hep-th/0405247.

    Article  MathSciNet  ADS  Google Scholar 

  66. E. Halyo, hep-th/0402155.

    Google Scholar 

  67. T. Matsuda, Phys. Rev. D70, 023502 (2004), hep-ph/0403092.

    MathSciNet  ADS  Google Scholar 

  68. T. Matsuda, hep-ph/0406064.

    Google Scholar 

  69. F. Englert, J. Orloff and T. Piran, Phys. Lett. B 212, 423 (1988).

    Article  ADS  Google Scholar 

  70. S. W. Hawking and D. N. Page, Commun. Math. Phys. 87, 577 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  71. E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998) [arXiv:hep-th/9803131].

    MATH  MathSciNet  Google Scholar 

  72. J. Preskill and A. Vilenkin, Phys. Rev. D47, 2324 (1993), hep-ph/9209210.

    MathSciNet  ADS  Google Scholar 

  73. T. Banks and L. J. Dixon, Nucl. Phys. B307, 93 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  74. A. Vilenkin and A. E. Everett, Phys. Rev. Lett. 48, 1867 (1982).

    Article  ADS  Google Scholar 

  75. S. Coleman, Aspects of Symmetry (Cambridge Univ. Press 1988).

    Google Scholar 

  76. C. G. Callan, J. A. Harvey and A. Strominger, Nucl. Phys. B 359, 611 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  77. L. J. Dixon, V. Kaplunovsky and C. Vafa, Nucl. Phys. B 294, 43 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  78. R. Bousso and J. Polchinski, JHEP 06, 006 (2000), hep-th/0004134.

    Article  MathSciNet  ADS  Google Scholar 

  79. M. R. Douglas, JHEP 05, 046 (2003), hep-th/0303194.

    Article  ADS  Google Scholar 

  80. S. Ashok and M. R. Douglas, JHEP 01, 060 (2004), hep-th/0307049.

    Article  MathSciNet  ADS  Google Scholar 

  81. N. Barnaby, C. P. Burgess and J. M. Cline, arXiv:hep-th/0412040.

    Google Scholar 

  82. J. Polchinski and E. Witten, Nucl. Phys. B 460, 525 (1996) [arXiv:hep-th/9510169].

    Article  MathSciNet  ADS  Google Scholar 

  83. L. Leblond and S. H. H. Tye, JHEP 03, 055 (2004), hep-th/0402072.

    Article  MathSciNet  ADS  Google Scholar 

  84. T. Damour and A. Vilenkin, Phys. Rev. Lett. 85, 3761 (2000), gr-qc/0004075.

    Article  ADS  Google Scholar 

  85. T. Damour and A. Vilenkin, Phys. Rev. D64, 064008 (2001), gr-qc/0104026.

    MathSciNet  ADS  Google Scholar 

  86. N. Turok, Nucl. Phys. B242, 520 (1984).

    Article  ADS  Google Scholar 

  87. X. Siemens and K. D. Olum, Phys. Rev. D68, 085017 (2003), gr-qc/0307113.

    ADS  Google Scholar 

  88. T. Damour and A. Vilenkin, arXiv:hep-th/0410222.

    Google Scholar 

  89. J. J. Blanco-Pillado and K. D. Olum, Phys. Rev. D 59, 063508 (1999) [arXiv:gr-qc/9810005].

    Article  ADS  Google Scholar 

  90. M. G. Jackson, N. T. Jones, and J. Polchinski, (2004), hep-th/0405229.

    Google Scholar 

  91. D. Austin, E. J. Copeland, and T.W. B. Kibble, Phys. Rev. D48, 5594 (1993), hep-ph/9307325.

    ADS  Google Scholar 

  92. M. Sakellariadou, arXiv:hep-th/0410234.

    Google Scholar 

  93. C. J. A. Martins, Phys. Rev. D 70, 107302 (2004) [arXiv:hep-ph/0410326].

    Article  MathSciNet  ADS  Google Scholar 

  94. A. Avgoustidis and E. P. S. Shellard, arXiv:hep-ph/0410349.

    Google Scholar 

  95. J. Polchinski, Phys. Lett. B209, 252 (1988).

    ADS  Google Scholar 

  96. A. Vilenkin, Phys. Rev. Lett. 53, 1016 (1984).

    Article  ADS  Google Scholar 

  97. T. Vachaspati and A. Vilenkin, Phys. Rev. D35, 1131 (1987).

    ADS  Google Scholar 

  98. D. Spergel and U.-L. Pen, Astrophys. J. 491, L67 (1997), astro-ph/9611198.

    Article  ADS  Google Scholar 

  99. P. McGraw, Phys. Rev. D57, 3317 (1998), astro-ph/9706182.

    ADS  Google Scholar 

  100. K. Becker, M. Becker and A. Strominger, Phys. Rev. D 51, 6603 (1995) [arXiv:hep-th/9502107].

    Article  MathSciNet  ADS  Google Scholar 

  101. J. D. Edelstein, C. Nunez and F. A. Schaposnik, Nucl. Phys. B 458, 165 (1996) [arXiv:hep-th/9506147].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  102. G. Dvali, R. Kallosh, and A. Van Proeyen, JHEP 01, 035 (2004), hep-th/0312005.

    Article  ADS  Google Scholar 

  103. E. Halyo, JHEP 03, 047 (2004), hep-th/0312268.

    Article  MathSciNet  ADS  Google Scholar 

  104. P. Binetruy, G. Dvali, R. Kallosh, and A. Van Proeyen, Class. Quant. Grav. 21, 3137 (2004), hep-th/0402046.

    Article  ADS  MATH  Google Scholar 

  105. S. S. Gubser, C. P. Herzog, and I. R. Klebanov, (2004), hep-th/0405282.

    Google Scholar 

  106. A. Achucarro and J. Urrestilla, JHEP 08, 050 (2004), hep-th/0407193.

    Article  MathSciNet  ADS  Google Scholar 

  107. S. S. Gubser, C. P. Herzog, and I. R. Klebanov, (2004), hep-th/0409186.

    Google Scholar 

  108. A. Lawrence and J. McGreevy, (2004), hep-th/0409284.

    Google Scholar 

  109. J. Rocher and M. Sakellariadou, arXiv:hep-ph/0405133.

    Google Scholar 

  110. J. Rocher and M. Sakellariadou, arXiv:hep-ph/0412143.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this paper

Cite this paper

Polchinski, J. (2005). Introduction to Cosmic F- and D-Strings. In: Baulieu, L., de Boer, J., Pioline, B., Rabinovici, E. (eds) String Theory: From Gauge Interactions to Cosmology. NATO Science Series II: Mathematics, Physics and Chemistry, vol 208. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3733-3_10

Download citation

Publish with us

Policies and ethics