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arXiv · 2105.11281

Mixed-symmetry continuous-spin fields in flat and AdS spaces

R. R. Metsaev
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Abstract

In the framework of light-cone gauge approach, bosonic and fermionic mixed-symmetry continuous-spin fields in AdS space and flat space are considered. For such fields, the light-cone gauge actions are found. Realization of relativistic symmetries of AdS and flat spaces on the continuous-spin fields is also presented. Simple realization of spin operators is found. With respect to vector variable entering the continuous-spin fields, the spin operators for the fields in flat space turn out to be first-order differential operators, while, for the the fields in AdS space, the spin operators are realized as the second-order differential operators. By product, we obtain also the simple description of triplectic mixed-symmetry continuous-spin fields.

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R. R. Metsaev. 2022-04-28. Mixed-symmetry continuous-spin fields in flat and AdS spaces. https://doi.org/10.1016/j.physletb.2021.136497

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