English

Gravity Duals of Fractional Branes in Various Dimensions

High Energy Physics - Theory 2009-11-07 v3

Abstract

We derive type II supergravity solutions corresponding to space-filling regular and fractional Dp branes on (9-p)-dimensional conical transverse spaces. Fractional Dp-branes are wrapped D(p+2)-branes; therefore, our solutions exist only if the base of the cone has a non-vanishing Betti number b_2. We also consider 11-dimensional SUGRA solutions corresponding to regular and fractional M2 branes on 8-dimensional cones whose base has a non-vanishing b_3. (In this case a fractional M2-brane is an M5-brane wrapped over a 3-cycle.) We discuss the gauge theory intepretation of these solutions, as well as of the solutions constructed by Cvetic et al. in hep-th/0011023 and hep-th/0012011.

Keywords

Cite

@article{arxiv.hep-th/0101020,
  title  = {Gravity Duals of Fractional Branes in Various Dimensions},
  author = {Christopher P. Herzog and Igor R. Klebanov},
  journal= {arXiv preprint arXiv:hep-th/0101020},
  year   = {2009}
}

Comments

25 pages, no figures, minor typos corrected, citations added, to appear in Phys. Rev. D