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

Abstract 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...

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Main Authors: V. E. Didenko, A. V. Korybut
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2023)133
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author V. E. Didenko
A. V. Korybut
author_facet V. E. Didenko
A. V. Korybut
author_sort V. E. Didenko
collection DOAJ
description Abstract 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.
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spelling doaj.art-8f5b06b58a1e486da8868af8bfffa7522023-08-27T11:04:41ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023513310.1007/JHEP05(2023)133On z-dominance, shift symmetry and spin locality in higher-spin theoryV. E. Didenko0A. V. Korybut1I.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteAbstract 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.https://doi.org/10.1007/JHEP05(2023)133Higher Spin GravityHigher Spin Symmetry
spellingShingle V. E. Didenko
A. V. Korybut
On z-dominance, shift symmetry and spin locality in higher-spin theory
Journal of High Energy Physics
Higher Spin Gravity
Higher Spin Symmetry
title On z-dominance, shift symmetry and spin locality in higher-spin theory
title_full On z-dominance, shift symmetry and spin locality in higher-spin theory
title_fullStr On z-dominance, shift symmetry and spin locality in higher-spin theory
title_full_unstemmed On z-dominance, shift symmetry and spin locality in higher-spin theory
title_short On z-dominance, shift symmetry and spin locality in higher-spin theory
title_sort on z dominance shift symmetry and spin locality in higher spin theory
topic Higher Spin Gravity
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP05(2023)133
work_keys_str_mv AT vedidenko onzdominanceshiftsymmetryandspinlocalityinhigherspintheory
AT avkorybut onzdominanceshiftsymmetryandspinlocalityinhigherspintheory