Dynamical Generation of Four-Dimensional Space-Time in the IIB Matrix Model

Preprint

28 May 2002

preprint
Published by arXiv in arXiv

Abstract

We study the spontaneous breakdown of SO(10) symmetry in the IIB matrix model using a mean-field approximation and its systematic improvements. Self-consistency equations allow various solutions which break the SO(10) symmetry. By calculating the free energy for each solution up to the third order approximation, we find that the free energy becomes minimum for a solution which preserves SO(4) symmetry. Furthermore the dynamical space-time is observed to collapse to four dimensions as we increase the order of the approximation. These results strongly suggest that four-dimensional space-time is generated dynamically in the IIB matrix model, which was proposed as a nonperturbative definition of type IIB superstring theory in ten dimensions.

Keywords

DIMENSIONAL SPACE TIME
FOUR DIMENSIONAL SPACE
DYNAMICAL GENERATION
DIMENSIONAL SPACE
IIB MATRIX MODEL
APPROXIMATION
MATRIX MODEL

All Related Versions

Version 1, 2001-11-12, ArXiv
Version 2, 2002-04-11, ArXiv
Version 3, 2002-05-28, ArXiv
Version 4, 2002-08-08, ArXiv
Published version: Journal of High Energy Physics, 2002 (05), 001.

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