Unitary IIB Matrix Model and the Dynamical Generation of the Space Time

Details Unitary IIB Matrix Model and the Dynamical Generation of the Space Time Unitary IIB Matrix Model and the Dynamical Generation of the Space Time

1997-07-18

arxiv.org/abs/hep-th/9707162v2

Nucl.Phys. B526 (1998) 351-377

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 Postscript figure, The final version accepted by NPB

Scientific paper

10.1016/S0550-3213(98)00404-0

We propose a unitary matrix model as a regularization of the IIB matrix model of Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT). The fermionic part is incorporated using the overlap formalism in order to avoid unwanted ``doublers'' while preserving the global gauge invariance. This regularization, unlike the one adopted by IKKT, has manifest U(1)^10 symmetry, which corresponds to the ten-dimensional translational invariance of the space time. We calculate one-loop effective action around some typical BPS-saturated configurations in the weak coupling limit. We also discuss a possible scenario for the dynamical generation of the four-dimensional space time through spontaneous breakdown of the U(1)^10 symmetry in the double scaling limit.

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