English

Fuzzy Cosets and their Gravity Duals

High Energy Physics - Theory 2009-10-31 v2

Abstract

Dp-branes placed in a certain external RR (p+4)-form field expand into a transverse fuzzy two-sphere, as shown by Myers. We find that by changing the (p+4)-form background other fuzzy cosets can be obtained. Three new examples, S^2 X S^2, CP^2 and SU(3)/(U(1) X U(1)) are constructed. The first two are four-dimensional while the last is six-dimensional. The dipole and quadrupole moments which result in these configurations are discussed. Finally, the gravity backgrounds dual to these vacua are examined in a leading order approximation. These are multi-centered solutions containing (p+4)- or (p+6)-dimensional brane singularities.

Keywords

Cite

@article{arxiv.hep-th/0007011,
  title  = {Fuzzy Cosets and their Gravity Duals},
  author = {Sandip P. Trivedi and Sachindeo Vaidya},
  journal= {arXiv preprint arXiv:hep-th/0007011},
  year   = {2009}
}

Comments

36 pages, harvmac, no figures, two references added

R2 v1 2026-07-22T14:58:49.996Z