Expanding (3+1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions - INSPIRE

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Expanding (3+1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions

Sang-Woo Kim
(
- Osaka U.
)
,
Jun Nishimura
(
- Sokendai, Tsukuba and
- KEK, Tsukuba
)
,
Asato Tsuchiya
(
- Shizuoka U., Ohya
)

Aug, 2011

4 pages

Published in:

Phys.Rev.Lett. 108 (2012) 011601

e-Print:

1108.1540 [hep-th]

DOI:

10.1103/PhysRevLett.108.011601

Report number:

KEK-TH-1484,
OU-HET-720-2011

View in:

ADS Abstract Service

reference search167 citations

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Abstract: (arXiv)

We reconsider the matrix model formulation of type IIB superstring theory in (9+1)-dimensional space-time. Unlike the previous proposal in which the Wick rotation was used to make the model well-defined, we regularize the Lorentzian model by introducing infrared cutoffs in both the spatial and temporal directions. Monte Carlo studies reveal that the two cutoffs can be removed in the large-N limit and that the theory thus obtained has no parameters other than one scale parameter. Moreover, we find that three out of nine spatial directions start to expand at some 'critical time', after which the space has SO(3) symmetry instead of SO(9).

Note:

4 pages, 3 figures/ minor corrections, reference added/ improved discussions, the version published in PRL

11.25.Sq
11.25.-w
symmetry: SO(10)
superstring: Type IIB
dimension: 10
matrix model
regularization
expansion 1/N
Monte Carlo
spontaneous symmetry breaking

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