Space-time defects and group momentum space

2017
journal article
article
cris.lastimport.wos2024-04-09T23:58:18Z
dc.abstract.enWe study massive and massless conical defects in Minkowski and de Sitter spaces in various space-time dimensions. The energy momentum of a defect, considered as an (extended) relativistic object, is completely characterized by the holonomy of the connection associated with its space-time metric. The possible holonomies are given by Lorentz group elements, which are rotations and null rotations for massive and massless defects, respectively. In particular, if we fix the direction of propagation of a massless defect in -dimensional Minkowski space, then its space of holonomies is a maximal Abelian subgroup of the AN group, which corresponds to the well known momentum space associated with the -dimensional -Minkowski noncommutative space-time and -deformed Poincaré algebra. We also conjecture that massless defects in -dimensional de Sitter space can be analogously characterized by holonomies belonging to the same subgroup. This shows how group-valued momenta related to four-dimensional deformations of relativistic symmetries can arise in the description of motion of space-time defects.pl
dc.contributor.authorArzano, Michelepl
dc.contributor.authorTrześniewski, Tomasz - 106399 pl
dc.date.accessioned2019-05-15T09:51:04Z
dc.date.available2019-05-15T09:51:04Z
dc.date.issued2017pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume2017pl
dc.identifier.articleid4731050pl
dc.identifier.doi10.1155/2017/4731050pl
dc.identifier.eissn1687-7365pl
dc.identifier.issn1687-7357pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/74684
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleSpace-time defects and group momentum spacepl
dc.title.journalAdvances in High Energy Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T23:58:18Z
dc.abstract.enpl
We study massive and massless conical defects in Minkowski and de Sitter spaces in various space-time dimensions. The energy momentum of a defect, considered as an (extended) relativistic object, is completely characterized by the holonomy of the connection associated with its space-time metric. The possible holonomies are given by Lorentz group elements, which are rotations and null rotations for massive and massless defects, respectively. In particular, if we fix the direction of propagation of a massless defect in -dimensional Minkowski space, then its space of holonomies is a maximal Abelian subgroup of the AN group, which corresponds to the well known momentum space associated with the -dimensional -Minkowski noncommutative space-time and -deformed Poincaré algebra. We also conjecture that massless defects in -dimensional de Sitter space can be analogously characterized by holonomies belonging to the same subgroup. This shows how group-valued momenta related to four-dimensional deformations of relativistic symmetries can arise in the description of motion of space-time defects.
dc.contributor.authorpl
Arzano, Michele
dc.contributor.authorpl
Trześniewski, Tomasz - 106399
dc.date.accessioned
2019-05-15T09:51:04Z
dc.date.available
2019-05-15T09:51:04Z
dc.date.issuedpl
2017
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
2017
dc.identifier.articleidpl
4731050
dc.identifier.doipl
10.1155/2017/4731050
dc.identifier.eissnpl
1687-7365
dc.identifier.issnpl
1687-7357
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/74684
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Space-time defects and group momentum space
dc.title.journalpl
Advances in High Energy Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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