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SUMMARY:On the emergence of (3+1)-dimensional expanding space-time in the
Lorentzian type IIB matrix model (II)
DTSTART;VALUE=DATE-TIME:20181219T060000Z
DTEND;VALUE=DATE-TIME:20181219T090000Z
DTSTAMP;VALUE=DATE-TIME:20191020T232323Z
UID:indico-contribution-36@cern.ch
DESCRIPTION:Speakers: Mr. HIRASAWA\, Mitsuaki (SOKENDAI)\nThe type IIB mat
rix model has been studied as a non-perturbative formulation of superstrin
g theory. In particular\, by Monte Carlo simulation of the Lorentzian type
IIB matrix model\, (3+1)-dimensional expanding space-time was shown to em
erge dynamically. Moreover\, from simulations of simplified models\, it wa
s suggested that the expansion of space is exponential at early times and
it turns into a power-law at later times. This behavior is reminiscent of
the inflation and the FRW universe in the radiation dominant era\, respect
ively. In this work we investigate the space-time structure of the matri
x configurations generated by the simulation and find that the 3-dimension
al space is essentially described by the Pauli matrices. We attribute this
problem to the approximation used to avoid the sign problem in Monte Carl
o simulation and discuss the possibility that a regular 3-dimensional spac
e emerges if we simulate the model without such an approximation.\n\nhttps
://conference-indico.kek.jp:443/indico/event/48/session/13/contribution/36
LOCATION:Kenkyu-Honkan bldg. 1F Kobayashi Hall
URL:https://conference-indico.kek.jp:443/indico/event/48/session/13/contri
bution/36
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