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Conformally invariant higher order higher spin operators on the sphere

Publikace na Matematicko-fyzikální fakulta |
2012

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We study conformally invariant differential operators on functions valued in Spin(n)-representations with half-integral highest weights (higher spin representations) on the sphere. We show that for most of these representations there is a unique such operator of arbitrary odd order, and construct new examples for the highest weight (5/2, 1/2, ... , 1/2), using the spectrum generating method by Branson, Orsted and Olafsson [6].

These operators are higher spin analogs of the conformally invariant powers of Dirac operator first constructed by Liu and Ryan [21].