Space-Time Defects and Group Momentum Space
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4731050 |
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| author | Michele Arzano Tomasz Trześniewski |
| author_facet | Michele Arzano Tomasz Trześniewski |
| author_sort | Michele Arzano |
| collection | DOAJ |
| description | 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 n+1-dimensional Minkowski space, then its space of holonomies is a maximal Abelian subgroup of the AN(n-1) group, which corresponds to the well known momentum space associated with the n-dimensional κ-Minkowski noncommutative space-time and κ-deformed Poincaré algebra. We also conjecture that massless defects in n-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. |
| format | Article |
| id | doaj-art-843f268f7ade4f9397192f0e55e7e13a |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-843f268f7ade4f9397192f0e55e7e13a2025-02-03T01:31:11ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/47310504731050Space-Time Defects and Group Momentum SpaceMichele Arzano0Tomasz Trześniewski1Dipartimento di Fisica and INFN, “Sapienza” University of Rome, P.le A. Moro 2, 00185 Roma, ItalyInstitute of Theoretical Physics, University of Wrocław, Pl. M. Borna 9, 50-204 Wrocław, PolandWe 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 n+1-dimensional Minkowski space, then its space of holonomies is a maximal Abelian subgroup of the AN(n-1) group, which corresponds to the well known momentum space associated with the n-dimensional κ-Minkowski noncommutative space-time and κ-deformed Poincaré algebra. We also conjecture that massless defects in n-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.http://dx.doi.org/10.1155/2017/4731050 |
| spellingShingle | Michele Arzano Tomasz Trześniewski Space-Time Defects and Group Momentum Space Advances in High Energy Physics |
| title | Space-Time Defects and Group Momentum Space |
| title_full | Space-Time Defects and Group Momentum Space |
| title_fullStr | Space-Time Defects and Group Momentum Space |
| title_full_unstemmed | Space-Time Defects and Group Momentum Space |
| title_short | Space-Time Defects and Group Momentum Space |
| title_sort | space time defects and group momentum space |
| url | http://dx.doi.org/10.1155/2017/4731050 |
| work_keys_str_mv | AT michelearzano spacetimedefectsandgroupmomentumspace AT tomasztrzesniewski spacetimedefectsandgroupmomentumspace |