English

The Non-Compact Weyl Equation

High Energy Physics - Theory 2011-04-20 v2 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

A non-compact version of the Weyl equation is proposed, based on the infinite dimensional spin zero representation of the sl_2 algebra. Solutions of the aforementioned equation are obtained in terms of the Kummer functions. In this context, we discuss the ADHMN approach in order to construct the corresponding non-compact BPS monopoles.

Cite

@article{arxiv.1012.5643,
  title  = {The Non-Compact Weyl Equation},
  author = {Anastasia Doikou and Theodora Ioannidou},
  journal= {arXiv preprint arXiv:1012.5643},
  year   = {2011}
}

Comments

10 pages Latex. Extra comments and an Appendix added. To appear in JHEP

R2 v1 2026-06-21T17:04:34.055Z