On holomorphic sector of higher-spin theory

A bstract Recent investigation of the 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 the holomorphic h...

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Published inThe journal of high energy physics Vol. 2022; no. 10; pp. 191 - 37
Main Author Didenko, V. E.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 31.10.2022
Springer Nature B.V
SpringerOpen
Subjects
Algebra
Apexes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Higher Spin Gravity
Higher Spin Symmetry
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Symmetry
Higher Spin Gravity
Higher Spin Symmetry
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Summary:A bstract Recent investigation of the 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 the 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 the space-time locality of the gauge field sector. We also show that vertices come with a remarkable shift symmetry.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2022)191