A Note on Rectangular Partially Massless Fields
Abstract
We study a class of nonunitary so(2,d) representations (for even values of d), describing mixedsymmetry partially massless fields which constitute natural candidates for defining higherspin singletons of higher order. It is shown that this class of so(2,d) modules obeys of natural generalisation of a couple of defining properties of unitary higherspin singletons. In particular, we find out that upon restriction to the subalgebra so(2,d1), these representations branch onto a sum of modules describing partially massless fields of various depths. Finally, their tensor product is worked out in the particular case of d=4, where the appearance of a variety of mixedsymmetry partially massless fields in this decomposition is observed.
 Publication:

Universe
 Pub Date:
 January 2018
 DOI:
 10.3390/universe4010004
 arXiv:
 arXiv:1710.10572
 Bibcode:
 2018Univ....4....4B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 31 pages, 4 figures