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The Issue of Dark Energy in String Theory

  • Nick Mavromatos
Part of the Lecture Notes in Physics book series (LNP, volume 720)

Abstract

Recent astrophysical observations, pertaining to either high-redshift supernovae or cosmic microwave background temperature fluctuations, as those measured recently by the WMAP satellite, provide us with data of unprecedented accuracy, pointing towards two (related) facts: (i) our Universe is accelerated at present, and (ii) more than 70% of its energy content consists of an unknown substance, termed dark energy, which is believed responsible for its current acceleration. Both of these facts are a challenge to String theory. In this review I outline briefly the challenges, the problems and possible avenues for research towards a resolution of the Dark Energy issue in string theory.

Keywords

Dark Matter String Theory Dark Energy Einstein Frame String Coupling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    S. Perlmutter et al., Astrophys. J 483, 565 (1997); A.G. Riess et al., Astron. J. 116, 1009 (1998); B.P. Schmidt et al., Astrophys. J 507, 46 (1998); P.M. Garnavich et al., Astrophys. J 509, 74 (1998); S. Perlmutter et al., Astrophys. J 517, 565 (1999).Google Scholar
  2. 2.
    C.L. Bennett et al., Astrophys.; J. Suppl. 148, 1, (2003), [ arXiv:astro-ph/0302207]; D.N. Spergel et al., Astrophys. J. Suppl. 148, 175, (2003) [arXiv:astro-ph/0302209].Google Scholar
  3. 3.
    See, for instance, N.E. Mavromatos, Proc. First Aegean Summer School on Cosmology Cosmological Crossroads (S. Cotsakis, E. Papantonopoulos eds.), Lect. Notes Phys. 592, ISBN 3-540-43778-9.Google Scholar
  4. 4.
    M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory, Vols. I and II (Cambridge University Press, Cambridge 1987).Google Scholar
  5. 5.
    T. Banks and W. Fischler, hep-th/0102077; S. Hellerman, N. Kaloper and L. Susskind, hep-th/0104180; W. Fischler, A. Kashani-Poor, R. McNees and S. Paban, hep-th/0104181; E. Witten, hep-th/0106109; P.O. Mazur, E. Mottola, Phys. Rev. D64, 104022 (2001), and references therein; J. Ellis, N.E. Mavromatos and D.V. Nanopoulos, hep-th/0105206.Google Scholar
  6. 6.
    For concise recent reviews see: P.J. Steinhardt, Phys. Scripta T 85, 177 (2000), and references therein; M. Trodden and S.M. Carroll, TASI lectures: Introduction to cosmology, [arXiv:astro-ph/0401547].Google Scholar
  7. 7.
    J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)] [arXiv:hep-th/9711200].Google Scholar
  8. 8.
    A. Strominger, JHEP 0110, 034 (2001) [arXiv:hep-th/0106113]. M. Spradlin, A. Strominger and A. Volovich, Les Houches lectures on de Sitter space, and references therein. [arXiv:hep-th/0110007].Google Scholar
  9. 9.
    F. David, Modern Physics Letters A 3, 1651 (1988); J. Distler and H. Kawai, Nucl. Phys. B 321, 509 (1989); see also: N.E. Mavromatos and J.L. Miramontes, Mod. Phys. Lett. A4, 1847 (1989); E. D’Hoker and P.S. Kurzepa, Mod. Phys. Lett. A5, 1411 (1990).Google Scholar
  10. 10.
    J.R. Ellis, N.E. Mavromatos and D.V. Nanopoulos, Phys. Lett. B293, 37 (1992) [arXiv:hep-th/9207103]; Mod. Phys. Lett. A10, 1685 (1995) [arXiv:hep-th/9503162]. Invited review for the special Issue of J. Chaos Solitons Fractals, Vol. 10, (eds. C. Castro amd M.S. El Naschie, Elsevier Science, Pergamon 1999) 345 [arXiv:hep-th/9805120]; J.R. Ellis, N.E. Mavromatos and D.V. Nanopoulos, Gen. Rel. Grav. 37, 1665 (2005) [arXiv:gr-qc/0503120].Google Scholar
  11. 11.
    J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995); TASI lectures on D-branes, hep-th/9611050; M.J. Duff, Sci. Am. 278, 64 (1998).Google Scholar
  12. 12.
    D. Langlois, Prog. Theor. Phys. Suppl. 148, 181 (2003) [arXiv:hep-th/0209261] and references therein. P. Binetruy, C. Deffayet and D. Langlois, Nucl. Phys. B565, 269 (2000) [ arXiv: hep-th/9905012]; P. Binetruy, C. Deffayet, U. Ellwanger and D. Langlois, Physics Letters B477, 285 (2000) [ arXiv: hep-th/9910219]; A. Kehagias and E. Kiritsis, JHEP 9911, 022 (1999) [arXiv:hep-th/9910174].Google Scholar
  13. 13.
    M. Gasperini and G. Veneziano, Phys. Rept. 373, 1 (2003) [arXiv:hep-th/0207130]; M. Gasperini, F. Piazza and G. Veneziano, Phys. Rev. D65, 023508 (2002) [arXiv:gr-qc/0108016].Google Scholar
  14. 14.
    G.A. Diamandis, B.C. Georgalas, N.E. Mavromatos and E. Papantonopoulos, Int. J. Mod. Phys. A17, 4567 (2002) [arXiv:hep-th/0203241]; G.A. Diamandis, B.C. Georgalas, N.E. Mavromatos, E. Papantonopoulos and I. Pappa, Int. J. Mod. Phys. A 17, 2241 (2002) [arXiv:hep-th/0107124].Google Scholar
  15. 15.
    J.D. Bekenstein, Phys. Rev. D7, 2333 (1973).Google Scholar
  16. 16.
    S.W. Hawking, Commun. Math. Phys. 43, 199 (1975) [Erratum-ibid. 46, 206 (1976)].Google Scholar
  17. 17.
    M. Srednicki, Phys. Rev. Lett. 71, 666 (1993) [arXiv:hep-th/9303048].Google Scholar
  18. 18.
    For the most recent result on this issue see: P. Berglund, E.G. Gimon and T.S. Levi, arXiv:hep-th/0505167, and references therein.Google Scholar
  19. 19.
    G.W. Gibbons and S.W. Hawking, Phys. Rev. D15, 2738 (1977).Google Scholar
  20. 20.
    R.M. Wald, Phys. Rev. D21, 2742 (1980).Google Scholar
  21. 21.
    N.E. Mavromatos, Lect. Notes Phys. 669, 245 (2005) [arXiv:gr-qc/0407005] and references therein.Google Scholar
  22. 22.
    W. Fischler and L. Susskind, [arXiv:hep-th/9806039].Google Scholar
  23. 23.
    S.W. Hawking, Phys. Rev. D72, 084013 (2005) [arXiv:hep-th/0507171].Google Scholar
  24. 24.
    M. Dine and M. Graesser, JHEP 0501, 038 (2005) [arXiv:hep-th/0409209].Google Scholar
  25. 25.
    T. Banks and M. Dine, JHEP 0110, 012 (2001) [arXiv:hep-th/0106276].Google Scholar
  26. 26.
    W. Fischler and L. Susskind, Phys. Lett. B173, 262 (1986); Phys. Lett. B171, 383 (1986).Google Scholar
  27. 27.
    I. Antoniadis, C. Bachas, J.R. Ellis and D.V. Nanopoulos, Phys. Lett. B211, 393 (1988); Nucl. Phys. B328, 117 (1989); Phys. Lett. B 257, 278 (1991).Google Scholar
  28. 28.
    A.B. Zamolodchikov, JETP Lett. 43, 730 (1986) [Pisma Zh. Eksp. Teor. Fiz. 43, 565 (1986)].Google Scholar
  29. 29.
    E. Witten, Int. J. Mod. Phys. A10, 1247 (1995) [arXiv:hep-th/9409111].Google Scholar
  30. 30.
    E. Gravanis and N.E. Mavromatos, Phys. Lett. B547, 117 (2002) [arXiv:hep-th/0205298];N.E. Mavromatos, arXiv:hep-th/0210079 (published in Beyond the Desert, Oulu 2002 (Finland) (ed. H.V. Klapdor-Kleingrothaus,IoP 2003)), 3.Google Scholar
  31. 31.
    F. Pardo, J. Math. Phys. 30, 2054 (1989); S. Hojman and C. Shepley, J. Math. Phys. 32, 142 (1991); in the Liouville-strings context see: N.E. Mavromatos and R.J. Szabo, Phys. Rev. D59, 104018 (1999) [arXiv:hep-th/9808124].Google Scholar
  32. 32.
    C. Schmidhuber and A.A. Tseytlin, Nucl. Phys. B426, 187 (1994) [arXiv:hep-th/9404180].Google Scholar
  33. 33.
    I.I. Kogan, N.E. Mavromatos and J.F. Wheater, Phys. Lett. B387, 483 (1996) [arXiv:hep-th/9606102]; for a supersymmetric world-sheet recoil formulation see: N.E. Mavromatos and R.J. Szabo, JHEP 0110, 027 (2001) [arXiv:hep-th/0106259]; JHEP 0301, 041 (2003) [arXiv:hep-th/0207273].Google Scholar
  34. 34.
    C. Bachas,[arXiv:hep-th/9503030].Google Scholar
  35. 35.
    J. Ellis, N.E. Mavromatos, D.V. Nanopoulos and A. Sakharov,arXiv:gr-qc/0407089, New J. Phys. 6, 171 (2004).Google Scholar
  36. 36.
    J.R. Ellis, N.E. Mavromatos and D.V. Nanopoulos, Phys. Lett. B619, 17 (2005) [arXiv:hep-th/0412240] and J.R. Ellis, N.E. Mavromatos, D.V. Nanopoulos and M. Westmuckett, Int. J. Mod. Phys. A 21, 1379 (2006) [arXiv:gr-qc/0508105]; G.A. Diamandis, B.C. Georgalas, A.B. Lahanas, N.E. Mavromatos and D.V. Nanopoulos, [arXiv:hep-th/0605181].Google Scholar
  37. 37.
    A.B. Lahanas, N.E. Mavromatos and D.V. Nanopoulos, [arXiv:hep-ph/0608153].Google Scholar
  38. 38.
    see for instance: E.W. Kolb and M.S. Turner, The Early universe, Front. Phys. 69 (Redwood City, USA: Addison-Wesley 1990).Google Scholar
  39. 39.
    I. Antoniadis, J. Rizos and K. Tamvakis, Nucl. Phys. B415, 497 (1994) [arXiv:hep-th/9305025].Google Scholar
  40. 40.
    P. Kanti, N.E. Mavromatos, J.Rizos, K. Tamvakis and E. Winstanley, Phys. Rev. D54, 5049 (1996) [arXiv:hep-th/9511071].Google Scholar
  41. 41.
    N.E. Mavromatos and E. Papantonopoulos, Phys. Rev. D73, 026001 (2006) [arXiv:hep-th/0503243] and references therein.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Nick Mavromatos
    • 1
  1. 1.Department of Physics, Theoretical PhysicsKing’s College LondonStrandUK

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