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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Format: | Article |
Language: | English |
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SpringerOpen
2023-05-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-03-12T13:14:40Z |
format | Article |
id | doaj.art-8f5b06b58a1e486da8868af8bfffa752 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-12T13:14:40Z |
publishDate | 2023-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |