{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:56:44Z","timestamp":1760151404299,"version":"build-2065373602"},"reference-count":57,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,3,16]],"date-time":"2022-03-16T00:00:00Z","timestamp":1647388800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Committee of Science of the Ministry of Education, Science, Culture and Sport RA","award":["20RF-059"],"award-info":[{"award-number":["20RF-059"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we analyzed the fermionic condensate (FC) associated with a massive fermionic field on a five-dimensional anti-de Sitter (AdS) spacetime in the presence of a cosmic string taking into account a magnetic flux running along its core. In addition, a compactified dimension was considered. Due to this compactification, the FC is expressed in terms of two distinct contributions: the first one corresponds to the geometry without compactification, and the second one is induced by the compactification. Depending on the values of the physical parameters, the total FC can be positive or negative. As a limiting case, the expression for the FC on locally Minkowski spacetime was derived. It vanishes for a massless fermionic field, and the nonzero FC on the AdS background space in the massless case is an effect induced by gravitation. This shows that the gravitational field may essentially influence the parameter space for phase transitions. For a massive field, the FC diverges on the string as the inverse cube of the proper distance from the string. In the case of a massless field, depending on the magnetic flux along the string and planar angle deficit, the limiting value of the FC on the string can be either finite or infinite. At large distances, the decay of the FC as a function of the distance from the string is a power law for both cases of massive and massless fields. For a cosmic string on the Minkowski bulk and for a massive field, the decay is exponential. The topological part in the FC vanishes on the AdS boundary. We show that the FCs coincide for the fields realizing two inequivalent irreducible representations of the Clifford algebra. In the special case of the zero planar angle deficit, the results presented in this paper describe Aharonov\u2013Bohm-type effects induced by magnetic fluxes in curved spacetime.<\/jats:p>","DOI":"10.3390\/sym14030584","type":"journal-article","created":{"date-parts":[[2022,3,16]],"date-time":"2022-03-16T22:15:04Z","timestamp":1647468904000},"page":"584","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Topological Effects in a Fermionic Condensate Induced by a Cosmic String and Compactification on the AdS Bulk"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0326-6368","authenticated-orcid":false,"given":"Stefano","family":"Bellucci","sequence":"first","affiliation":[{"name":"INFN, Laboratori Nazionali di Frascati, Via Enrico Fermi 54, 00044 Frascati, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3265-5266","authenticated-orcid":false,"given":"Wagner","family":"Oliveira dos Santos","sequence":"additional","affiliation":[{"name":"INFN, Laboratori Nazionali di Frascati, Via Enrico Fermi 54, 00044 Frascati, Italy"},{"name":"Departamento de F\u00edsica, Universidade Federal da Para\u00edba, 58.059-970, Caixa Postal 5.008, Jo\u00e3o Pessoa 58059900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eugenio R.","family":"Bezerra de Mello","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Federal da Para\u00edba, 58.059-970, Caixa Postal 5.008, Jo\u00e3o Pessoa 58059900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6576-9895","authenticated-orcid":false,"given":"Aram A.","family":"Saharian","sequence":"additional","affiliation":[{"name":"Department of Physics, Yerevan State University, 1 Alex Manoogian Street, Yerevan 0025, Armenia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2015.02.003","article-title":"Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals","volume":"576","author":"Miransky","year":"2015","journal-title":"Phys. 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