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arXiv · 2209.01966

On holomorphic sector of higher-spin theory

V. E. Didenko
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Abstract

Recent investigation of locality problem for higher-spin fields led to a vertex reconstruction procedure that involved elements of contraction of the original Vasiliev interaction algebra. Inspired by these results we propose the Vasiliev-like generating equations for holomorphic higher-spin interactions in four dimensions based on the observed contracted algebra. We specify the functional class that admits evolution on the proposed equations and brings in a systematic procedure of extracting all-order holomorphic vertices. A simple consequence of the proposed equations is space-time locality of the gauge field sector. We also show that vertices come with a remarkable shift symmetry.

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V. E. Didenko. 2022-09-05. On holomorphic sector of higher-spin theory. https://doi.org/10.1007/jhep10(2022)191

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