Notes on higher-spin diffeomorphisms

Xavier Bekaert

Notes on higher-spin diffeomorphisms

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arxiv 2108.09263 v2 pith:TOYLUZVW submitted 2021-08-20 hep-th

Xavier Bekaert This is my paper · ORCID

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keywords diffeomorphismshigher-spindifferentialmathematicaloperatorsalgebrabetterchallenging

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Higher-spin diffeomorphisms are to higher-order differential operators what diffeomorphisms are to vector fields. Their rigorous definition is a challenging mathematical problem which might predate a better understanding of higher-spin symmetries and interactions. Several yes-go and no-go results on higher-spin diffeomorphisms are collected from the mathematical literature in order to propose a generalisation of the algebra of differential operators on which higher-spin diffeomorphisms are well-defined.

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Scalar Field on a higher-spin Background via Fedosov quantization
hep-th 2024-12 conditional novelty 6.0 of 10

A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.

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