A Note on Rectangular Partially Massless Fields
Abstract
We study a class of non-unitary so ( 2 , d ) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin 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 higher-spin singletons. In particular, we find out that upon restriction to the subalgebra so ( 2 , d ‑ 1 ) , 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 mixed-symmetry 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:
-
- singletons;
- higher spin gauge theory;
- High Energy Physics - Theory
- E-Print:
- 31 pages, 4 figures