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arxiv: 1012.5643 · v2 · pith:CKUVNBXWnew · submitted 2010-12-27 · ✦ hep-th · math-ph· math.MP· nlin.SI

The Non-Compact Weyl Equation

classification ✦ hep-th math-phmath.MPnlin.SI
keywords equationnon-compactweyladhmnaforementionedalgebraapproachconstruct
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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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