On z-dominance, shift symmetry and spin locality in higher-spin theory

A bstract The paper aims at the qualitative criterion of higher-spin locality. Perturbative analysis of the Vasiliev equations gives rise to the so-called z -dominated non-localities which nevertheless disappear from interaction vertices leaving the final result spin-local in all known cases. This h...

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Published inThe journal of high energy physics Vol. 2023; no. 5; pp. 133 - 33
Main Authors Didenko, V. E., Korybut, A. V.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 16.05.2023
Springer Nature B.V
SpringerOpen
Subjects
Apexes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Higher Spin Gravity
Higher Spin Symmetry
Physics
Physics and Astronomy
Qualitative analysis
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 The paper aims at the qualitative criterion of higher-spin locality. Perturbative analysis of the Vasiliev equations gives rise to the so-called z -dominated non-localities which nevertheless disappear from interaction vertices leaving the final result spin-local in all known cases. This has led one to the z -dominance conjecture that suggests universality of the observed cancellations. Here we specify conditions which include observation of the higher-spin shift symmetry and prove validity of this recently proposed conjecture. We also define a class of spin-local and shift-symmetric field redefinitions which is argued to be the admissible one with respect to spin-locality.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2023)133