Field Equations of Massless Fields in the New Interpretation of the Matrix Model

Details Field Equations of Massless Fields in the New Interpretation of the Matrix Model Field Equations of Massless Fields in the New Interpretation of the Matrix Model

2006-11-08

arxiv.org/abs/hep-th/0611093v1

Nucl.Phys.B767:82-99,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1016/j.nuclphysb.2007.01.003

Recently, some of the authors have introduced a new interpretation of matrix models in which covariant derivatives on any curved space can be expressed by large-N matrices. It has been shown that the Einstein equation follows from the equation of motion of IIB matrix model in this interpretation. In this paper, we generalize this argument to covariant derivatives with torsion. We find that some components of the torsion field can be identified with the dilaton and the $B$-field in string theory. However, the other components do not seem to have string theory counterparts. We also consider the matrix model with a mass term or a cubic term, in which the equation of motion of string theory is exactly satisfied.

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