The higher spin Laplace operator in several vector variables. (15th January 2018)

• Record Type: Journal Article
• Authors: Eelbode, David; Raeymaekers, Tim; Roels, Matthias
• Is Part Of: Journal of physics. Volume 51:Number 6(2018)
• Publication Date: 2018-01-15
• Subjects: higher spin -- Laplace operator -- transvector algebra -- harmonic analysis -- invariant operators; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aaa305
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: In this paper, an explicit expression is obtained for the conformally invariant higher spin Laplace operator, which acts on functions taking values in an arbitrary (finite-dimensional) irreducible representation for the orthogonal group with integer valued highest weight. Once an explicit expression is obtained, a special kind of (polynomial) solutions of this operator is determined.