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On asymptotic symmetries in higher dimensions for any spin

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arxiv 2011.04420 v2 pith:72ODRER4 submitted 2020-11-09 hep-th gr-qc

classification hep-thgr-qc
keywords asymptoticsymmetriescorrespondingdimensiondimensionshigherrepresentationsspin
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abstract

We investigate asymptotic symmetries in flat backgrounds of dimension higher than or equal to four. For spin two we provide the counterpart of the extended BMS transformations found by Campiglia and Laddha in four-dimensional Minkowski space. We then identify higher-spin supertranslations and generalised superrotations in any dimension. These symmetries are in one-to-one correspondence with spin-$s$ partially-massless representations on the celestial sphere, with supertranslations corresponding in particular to the representations with maximal depth. We discuss the definition of the corresponding asymptotic charges and we exploit the supertranslational ones in order to prove the link with Weinberg's soft theorem in even dimensions.

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Cited by 3 Pith papers

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  3. GGI lectures on boundary and asymptotic symmetries

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