The Non-Compact Weyl Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1007/JHEP04(2011)072

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.

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