Abstract
We show that (3 + 1)-dimensional expanding universe emerges in the IIB matrix model, which is conjectured to be a nonperturbative formulation of superstring theory. We also discuss how the Standard Model particles appear in the model.
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References
H. Liu, G. W. Moore, and N. Seiberg, “Strings in time dependent orbifolds,” JHEP 10–031, 1–26 (2002).
A. Lawrence, “On the instability of 3-D null singularities,” JHEP 10–019, 1–6 (2002).
G. T. Horowitz and J. Polchinski, “Instability of space-like and null orbifold singularities,” Phys. Rev. D 66–103512, 1–7 (2002).
M. Berkooz et al., “Comments on cosmological singularities in string theory,” JHEP 03–031, 1–34 (2003).
N. Ishibashi et al., “A large-N reduced model as superstring,” Nucl. Phys. B 498, 467–491 (1997).
M. Fukuma et al., “String field theory from IIB matrix model,” Nucl. Phys. B 510, 158–174 (1998).
Q. Krauth et al., “Monte Carlo approach to M theory,” Phys. Lett. B 431, 31–41 (1998).
P. Austing and J. F. Wheater, “Convergent Yang-Mills Matrix Theories,” JHEP 04–019, 1–20 (2001).
J. Nishimura, T. Okubo, and F. Sugino, “Systematic study of the SO(10) symmetry breaking vacua in the matrix model for type IIB superstrings,” JHEP 10–135, 1–33 (2011).
K. N. Anagnostopoulos, T. Azuma, and J. Nishimura, “Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models,” JHEP 11-009, 1–27 (2013).
S. -W. Kim, J. Nishimura, and A. Tsuchiya, “Expanding (3 + 1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9 + 1)-dimensions,” Phys. Rev. Lett. 108-01160, 1–5 (2012).
H. Aoki, S. Iso, and T. Suyama, “Orbifold matrix model,” Nucl. Phys. B 634, 71–89 (2002).
A. Chatzistavrakidis, H. Steinacker, and G. Zoupanos, “Orbifolds, fuzzy spheres and chiral fermions,” JHEP 05-100, 1–26 (2010).
A. Chatzistavrakidis, H. Steinacker, and G. Zoupanos, “Orbifold matrix models and fuzzy extra dimensions,” PoS CORFU 047, 1–19 (2011).
H. Aoki, “Chiral fermions and the standard model from the matrix model compactified on a torus,” Prog. Theor. Phys. 125, 521–536 (2011).
A. Chatzistavrakidis, H. Steinacker, and G. Zoupanos, “Intersecting branes and a standard model realization in matrix models,” JHEP 09-115, 1–36 (2011).
M. Berkooz, M. R. Douglas, and R. G. Leigh, “Branes intersecting at angles,” Nucl. Phys. B 480, 265–278 (1996).
I. Antoniadis, E. Kiritsis, and T. N. Tomaras, “A D-brane alternative to unification,” Phys. Lett. B 486, 186–193 (2000).
G. Aldazabal et al., “D-branes at singularities: a bottom up approach to the string embedding of the standard model,” JHEP 08-002, 1–70 (2000).
L. E. Ibanez, F. Marchesano, and R. Rabadan, “Getting just the standard model at intersecting branes,” JHEP 11-002, 1–39 (2001).
J. Nishimura and A. Tsuchiya, “Realizing chiral fermions in the type IIB matrix model at finite N,” JHEP 12-002, 1–11 (2013).
S.-W. Kim, J. Nishimura, and A. Tsuchiya, “Late time behaviors of the expanding universe in the IIB matrix model,” JHEP 10–147, 1–25 (2012).
S.-W. Kim, J. Nishimura, and A. Tsuchiya, “Expanding universe as a classical solution in the Lorentzian matrix model for nonperturbative superstring theory,” Phys. Rev. D 86-027901, 1–5 (2012).
H. Aoki, J. Nishimura, and A. Tsuchiya, “Realizing three generations of the Standard Model fermions in the type IIB matrix model,” arXiv:1401.7848.
R. C. Myers, “Dielectric branes,” JHEP 12-022, 1–40 (1999).
T. Imai et al., “Quantum corrections on fuzzy sphere,” Nucl. Phys. B 665, 520–544 (2003).
T. Imai et al., “Effective actions of matrix models on homogeneous spaces,” Nucl. Phys. B 679, 143–167 (2004).
H. Kaneko, Y. Kitazawa, and D. Tomino, “Stability of fuzzy S 2 × S 2 × S 2 in IIB type matrix models,” Nucl. Phys. B 725, 93–114 (2005).
J. Nishimura and A. Tsuchiya, “Local field theory from the expanding universe at late times in the IIB matrix model,” PTEP 2013-043B03, 1–8 (2013).
Y. Ito et al., “A renormalization group method for studying the early universe in the Lorentzian IIB matrix model,” arXiv:1312.5415.
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Talk given at “Supersymmetries and Quantum Symmetries” (SQS’2013), July 29–August 3, 2013, Dubna, Russia.
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Tsuchiya, A. Expanding (3 + 1)-dimensional universe from the IIB matrix model. Phys. Part. Nuclei Lett. 11, 894–898 (2014). https://doi.org/10.1134/S1547477114070462
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DOI: https://doi.org/10.1134/S1547477114070462