English

Fuzzy Torus in Matrix Model

High Energy Physics - Theory 2010-04-05 v1

Abstract

We have calculated the free energy up to two loop to compare T^2 with T^4 in IIB matrix model. It turns out that T^2 has smaller free energy than T^4. We have also discussed the generation of the gauge group by considering k-coincident fuzzy tori and found that in this case U(1) gauge group is favored. This means that if the true vacuum is four-dimensional, it is not a simple fuzzy space considered here.

Cite

@article{arxiv.hep-th/0412303,
  title  = {Fuzzy Torus in Matrix Model},
  author = {Subrata Bal and Masanori Hanada and Hikaru Kawai and Fukuichiro Kubo},
  journal= {arXiv preprint arXiv:hep-th/0412303},
  year   = {2010}
}

Comments

Latex file, 5 figures, 21 pages