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SUMMARY:On the emergence of (3+1)-dimensional expanding space-time in the
Lorentzian type IIB matrix model (I)
DTSTART;VALUE=DATE-TIME:20181219T060000Z
DTEND;VALUE=DATE-TIME:20181219T090000Z
DTSTAMP;VALUE=DATE-TIME:20190718T021141Z
UID:indico-contribution-30@cern.ch
DESCRIPTION:Speakers: Mr. AOKI\, Toshihiro (SOKENDAI)\nThe type IIB matrix
model was proposed as a non-perturbative formulation of superstring theor
y in 1997. The emergence of (3+1)-dimensional space-time was observed in M
onte Carlo studies of its Lorentzian version. This implies that an expandi
ng (3+1)-dimensional space-time naturally appears from (9+1)-dimensional s
pace-time\, in which superstring theory is defined. The expanding behavior
was studied by simulating simplified versions of the model\, which sugges
ted that the expansion is exponential at the beginning\, and it turns into
a power law at later times. This property is reminiscent of the inflation
and the FRW universe\, respectively. In this work we investigate the spac
e-time structure of the matrix configurations obtained in the simulation\,
and find that the expanding 3d space is described essentially by the Paul
i \nmatrices. We attribute this problem to an approximation\, which is use
d\nto avoid the sign problem in Monte Carlo simulation\, and discuss the\n
possibility of obtaining a regular space-time if we investigate the\norigi
nal model without such an approximation.\n\nhttps://conference-indico.kek.
jp:443/indico/event/48/session/13/contribution/30
LOCATION:Kenkyu-Honkan bldg. 1F Kobayashi Hall
URL:https://conference-indico.kek.jp:443/indico/event/48/session/13/contri
bution/30
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