English

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

High Energy Physics - Theory 2009-10-30 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9707162,
  title  = {Unitary IIB Matrix Model and the Dynamical Generation of the Space Time},
  author = {Naofumi Kitsunezaki and Jun Nishimura},
  journal= {arXiv preprint arXiv:hep-th/9707162},
  year   = {2009}
}

Comments

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