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Adiabaticity and emergence of classical space-time in time-dependent matrix theories

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Abstract

We discuss the low-curvature regime of time-dependent matrix theories proposed to describe non-perturbative quantum gravity in asymptotically plane-wave space-times. The emergence of near-classical space-time in this limit turns out to be closely linked to the adiabaticity of the matrix theory evolution. Supersymmetry restoration at low curvatures, which is crucial for the usual space-time interpretation of matrix theories, becomes an obvious feature of the adiabatic regime.

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References

  1. B. Craps, S. Sethi and E.P. Verlinde, A Matrix Big Bang, JHEP 10 (2005) 005 [hep-th/0506180] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  2. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: A conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  3. L. Motl, Proposals on nonperturbative superstring interactions, hep-th/9701025 [SPIRES].

  4. T. Banks and N. Seiberg, Strings from matrices, Nucl. Phys. B 497 (1997) 41 [hep-th/9702187] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  5. R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, Matrix string theory, Nucl. Phys. B 500 (1997) 43 [hep-th/9703030] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. M. Li, A class of cosmological matrix models, Phys. Lett. B 626 (2005) 202 [hep-th/0506260] [SPIRES].

    ADS  Google Scholar 

  7. M. Li and W. Song, Shock waves and cosmological matrix models, JHEP 10 (2005) 073 [hep-th/0507185] [SPIRES].

    Article  ADS  Google Scholar 

  8. S.R. Das and J. Michelson, pp wave big bangs: Matrix strings and shrinking fuzzy spheres, Phys. Rev. D 72 (2005) 086005 [hep-th/0508068] [SPIRES].

    ADS  Google Scholar 

  9. B. Chen, The time-dependent supersymmetric configurations in M-theory and matrix models, Phys. Lett. B 632 (2006) 393 [hep-th/0508191] [SPIRES].

    ADS  Google Scholar 

  10. D. Robbins and S. Sethi, A matrix model for the null-brane, JHEP 02 (2006) 052 [hep-th/0509204] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  11. S.R. Das and J. Michelson, Matrix membrane big bangs and D-brane production, Phys. Rev. D 73 (2006) 126006 [hep-th/0602099] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  12. E.J. Martinec, D. Robbins and S. Sethi, Toward the end of time, JHEP 08 (2006) 025 [hep-th/0603104] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  13. H.-Z. Chen and B. Chen, Matrix model in a class of time dependent supersymmetric backgrounds, Phys. Lett. B 638 (2006) 74 [hep-th/0603147] [SPIRES].

    ADS  Google Scholar 

  14. T. Ishino, H. Kodama and N. Ohta, Time-dependent solutions with null Killing spinor in M-theory and superstrings, Phys. Lett. B 631 (2005) 68 [hep-th/0509173] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  15. T. Ishino and N. Ohta, Matrix string description of cosmic singularities in a class of time-dependent solutions, Phys. Lett. B 638 (2006) 105 [hep-th/0603215] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  16. J. Bedford, C. Papageorgakis, D. Rodriguez-Gomez and J. Ward, Matrix Big Brunch, Phys. Rev. D 75 (2007) 085014 [hep-th/0702093] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  17. M. Blau and M. O’Loughlin, DLCQ and Plane Wave Matrix Big Bang Models, JHEP 09 (2008) 097 [arXiv:0806.3255] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  18. L. Susskind, Another conjecture about M(atrix) theory, hep-th/9704080 [SPIRES].

  19. N. Seiberg, Why is the matrix model correct?, Phys. Rev. Lett. 79 (1997) 3577 [hep-th/9710009] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  20. A. Sen, D0 branes on T(n) and matrix theory, Adv. Theor. Math. Phys. 2 (1998) 51 [hep-th/9709220] [SPIRES].

    MATH  MathSciNet  Google Scholar 

  21. B. Craps, A. Rajaraman and S. Sethi, Effective dynamics of the matrix big bang, Phys. Rev. D 73 (2006) 106005 [hep-th/0601062] [SPIRES].

    ADS  Google Scholar 

  22. M. O’Loughlin and L. Seri, The non-Abelian gauge theory of matrix big bangs, JHEP 07 (2010) 036 [arXiv:1003.0620] [SPIRES].

    Article  MathSciNet  Google Scholar 

  23. A. Awad, S.R. Das, A. Ghosh, J.-H. Oh and S.P. Trivedi, Slowly Varying Dilaton Cosmologies and their Field Theory Duals, Phys. Rev. D 80 (2009) 126011 [arXiv:0906.3275] [SPIRES].

    ADS  Google Scholar 

  24. W. Taylor, D-brane field theory on compact spaces, Phys. Lett. B 394 (1997) 283 [hep-th/9611042] [SPIRES].

    ADS  Google Scholar 

  25. B. Craps, Big bang models in string theory, Class. Quant. Grav. 23 (2006) S849 [hep-th/0605199] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  26. A. Messiah, Quantum Mechanics. Vol. II, North Holland, Amsterdam Netherlands (1962).

    Google Scholar 

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Authors and Affiliations

  1. Theoretische Natuurkunde, Vrije Universiteit Brussel and The International Solvay Institutes, Pleinlaan 2, B-1050, Brussels, Belgium

    Ben Craps

  2. Institute of Theoretical Physics, Academia Sinica, Zhōngguāncūn dōnglù 55, Beijing, 100190, China

    Oleg Evnin

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  1. Ben Craps
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  2. Oleg Evnin
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Correspondence to Oleg Evnin.

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ArXiv ePrint: 1011.0820

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Craps, B., Evnin, O. Adiabaticity and emergence of classical space-time in time-dependent matrix theories. J. High Energ. Phys. 2011, 130 (2011). https://doi.org/10.1007/JHEP01(2011)130

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  • DOI: https://doi.org/10.1007/JHEP01(2011)130

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