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Space-Time Defects and Group Momentum Space
Joint Authors
Arzano, Michele
Trześniewski, Tomasz
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Arzano, Michele& Trześniewski, Tomasz. 2017. Space-Time Defects and Group Momentum Space. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1122064
Modern Language Association (MLA)
Arzano, Michele& Trześniewski, Tomasz. Space-Time Defects and Group Momentum Space. Advances in High Energy Physics No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1122064
American Medical Association (AMA)
Arzano, Michele& Trześniewski, Tomasz. Space-Time Defects and Group Momentum Space. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1122064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122064