{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:31:49Z","timestamp":1760146309034,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,15]],"date-time":"2024-10-15T00:00:00Z","timestamp":1728950400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University of Rijeka","award":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"],"award-info":[{"award-number":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"]}]},{"name":"BIRD-2021 project","award":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"],"award-info":[{"award-number":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"]}]},{"name":"PRIN Project","award":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"],"award-info":[{"award-number":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"]}]},{"name":"Understanding quantum field theory through its deformations","award":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"],"award-info":[{"award-number":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"]}]},{"name":"PRIN 2022 project CONTRABASS","award":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"],"award-info":[{"award-number":["uniri-prirod-18-256","uniri-iskusni-prirod-23-222","uniri-mladi-prirod-23-43 3159","PRD-2021","2022ABPBEY","2022KB2JJM"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The Moyal-Higher-Spin (MHS) formalism, involving fields dependent on spacetime and auxiliary coordinates, is an approach to studying higher-spin (HS)-like models. To determine the particle content of the MHS model of the Yang\u2013Mills type, we calculate the quartic Casimir operator for on-shell MHS fields, finding it to be generally non-vanishing, indicative of infinite\/continuous spin degrees of freedom. We propose an on-shell basis for these infinite\/continuous spin states. Additionally, we analyse the content of a massive MHS model.<\/jats:p>","DOI":"10.3390\/sym16101371","type":"journal-article","created":{"date-parts":[[2024,10,18]],"date-time":"2024-10-18T05:49:53Z","timestamp":1729230593000},"page":"1371","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Particle Content of Moyal-Higher-Spin Theory"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3017-674X","authenticated-orcid":false,"given":"Maro","family":"Cvitan","sequence":"first","affiliation":[{"name":"Department of Physics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9344-2139","authenticated-orcid":false,"given":"Predrag","family":"Dominis Prester","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, University of Rijeka, 51000 Rijeka, Croatia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9467-2403","authenticated-orcid":false,"given":"Stefano Gregorio","family":"Giaccari","sequence":"additional","affiliation":[{"name":"Istituto Nazionale di Ricerca Metrologica, I-10135 Torino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8770-127X","authenticated-orcid":false,"given":"Mateo","family":"Pauli\u0161i\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Physics, University of Rijeka, 51000 Rijeka, Croatia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6450-3916","authenticated-orcid":false,"given":"Ivan","family":"Vukovi\u0107","sequence":"additional","affiliation":[{"name":"Independent Researcher, 1210 Vienna, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,15]]},"reference":[{"key":"ref_1","unstructured":"Bekaert, X., Boulanger, N., Campoleoni, A., Chiodaroli, M., Francia, D., Grigoriev, M., Sezgin, E., and Skvortsov, E. 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