The non-compact Weyl equation
Abstract
A non-compact version of the Weyl equation is proposed, based on the infinite dimensional spin zero representation of the mathfrak{s}{mathfrak{l}_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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- April 2011
- DOI:
- arXiv:
- arXiv:1012.5643
- Bibcode:
- 2011JHEP...04..072D
- Keywords:
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- Solitons Monopoles and Instantons;
- Topological Field Theories;
- High Energy Physics - Theory;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 10 pages Latex. Extra comments and an Appendix added. To appear in JHEP