English

Branes and Calibrated Geometries

High Energy Physics - Theory 2009-10-31 v2

Abstract

The fivebrane worldvolume theory in eleven dimensions is known to contain BPS threebrane solitons which can also be interpreted as a fivebrane whose worldvolume is wrapped around a Riemann surface. By considering configurations of intersecting fivebranes and hence intersecting threebrane solitons, we determine the Bogomol'nyi equations for more general BPS configurations. We obtain differential equations, generalising Cauchy-Riemann equations, which imply that the worldvolume of the fivebrane is wrapped around a calibrated geometry.

Keywords

Cite

@article{arxiv.hep-th/9803216,
  title  = {Branes and Calibrated Geometries},
  author = {Jerome P. Gauntlett and Neil D. Lambert and Peter C. West},
  journal= {arXiv preprint arXiv:hep-th/9803216},
  year   = {2009}
}

Comments

Latex, 35 pages. References added, minor changes

R2 v1 2026-07-22T16:09:48.116Z