English

Bogomolny equations and conformal transformations in curved space

High Energy Physics - Theory 2009-12-31 v1

Abstract

The coupling of the Higgs field through the Ricci tensor, put forward by Balakrishna and Wali, is derived using a conformal rescaling of the metric. Earlier results on "Bogomolny-type" equations in curved space, by Comtet, and others, are recovered. The procedure can be generalized to any static background metric.

Keywords

Cite

@article{arxiv.0909.0346,
  title  = {Bogomolny equations and conformal transformations in curved space},
  author = {P. -M. Zhang and P. A. Horváthy},
  journal= {arXiv preprint arXiv:0909.0346},
  year   = {2009}
}

Comments

3 pages (revtex), no figures

R2 v1 2026-06-21T13:41:32.201Z