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Journal Articles Universe Year : 2021

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.

Dates and versions

hal-03326812 , version 1 (26-08-2021)

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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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