Decomposition of the polynomial kernel of arbitrary higher spin Dirac operatorsDecomposition of the polynomial kernel of arbitrary higher spin Dirac operators
Faculty of Sciences. Mathematics and Computer Science
2015New York, N.Y., 2015
Journal of mathematical physics. - New York, N.Y.
56(2015):10, 11 p.
University of Antwerp
In a series of recent papers, we have introduced higher spin Dirac operators, which are generalisations of the classical Dirac operator. Whereas the latter acts on spinor-valued functions, the former acts on functions taking values in arbitrary irreducible half-integer highest weight representations for the spin group. In this paper, we describe how the polynomial kernel spaces of such operators decompose in irreducible representations of the spin group. We will hereby make use of results from representation theory. (C) 2015 AIP Publishing LLC.