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Notes on Higher-Spin Diffeomorphisms

Abstract : 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. This work is dedicated to the memory of Christiane Schomblond, who taught several generations of Belgian physicists the formative rigor and delicate beauty of theoretical physics.
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https://hal.archives-ouvertes.fr/hal-03326812
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Submitted on : Thursday, August 26, 2021 - 2:48:18 PM
Last modification on : Sunday, June 26, 2022 - 3:12:36 AM

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Xavier Bekaert. Notes on Higher-Spin Diffeomorphisms. Universe, 2021, 7 (12), pp.508. ⟨10.3390/universe7120508⟩. ⟨hal-03326812⟩

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