Abstract
There are various no-go results forbidding self-interactions for a single partially massless spin-2 field. Given the photon-like structure of the linear partially massless field, it is natural to ask whether a multiplet of such fields can interact under an internal YangMills like extension of the partially massless symmetry. We give two arguments that such a partially massless Yang-Mills theory does not exist. The first is that there is no Yang-Mills like non-abelian deformation of the partially massless symmetry, and the second is that cubic vertices with the appropriate structure constants do not exist.
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Garcia-Saenz, S., Hinterbichler, K., Joyce, A. et al. No-go for partially massless spin-2 Yang-Mills. J. High Energ. Phys. 2016, 43 (2016). https://doi.org/10.1007/JHEP02(2016)043
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DOI: https://doi.org/10.1007/JHEP02(2016)043