A group theoretic description of the κ-Poincare Hopf algebra

被引:7
作者
Arzano, Michele [1 ,2 ]
Kowalski-Glikman, Jerzy [3 ,4 ]
机构
[1] Univ Napoli Federico II, Dipartimento Fis E Pancini, I-80125 Naples, Italy
[2] Complesso Univ Monte S Angelo, Sez Napoli, Ist Nazl Fis Nucl, Via Cintia Edificio 6, I-80126 Naples, Italy
[3] Univ Wroclaw, Fac Phys & Astron, Maksa Borna 9, PL-50204 Wroclaw, Poland
[4] Natl Ctr Nucl Res, Pasteura 7, PL-02093 Warsaw, Poland
关键词
RELATIVITY; SPACE;
D O I
10.1016/j.physletb.2022.137535
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is well known in the literature that the momentum space associated to the kappa-Poincare algebra is described by the Lie group AN(3). In this letter we show that the full kappa-Poincare Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwasawa decomposition of the SO(1, 4) group. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页数:8
相关论文
共 47 条
[1]  
Addazi A., 2021, arXiv
[2]   Generalizing the Noether theorem for Hopf-algebra spacetime symmetries [J].
Agostini, Alessandra ;
Amelino-Camelia, Giovanni ;
Arzano, Michele ;
Mariano, Antonino ;
Tacchi, Ruggero Altair .
MODERN PHYSICS LETTERS A, 2007, 22 (24) :1779-1786
[3]   Quantum symmetry, the cosmological constant and Planck-scale phenomenology [J].
Amelino-Camelia, G ;
Smolin, L ;
Starodubtsev, A .
CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (13) :3095-3110
[4]   Coproduct and star product in field theories on Lie-algebra noncommutative space-times [J].
Amelino-Camelia, G ;
Arzano, M .
PHYSICAL REVIEW D, 2002, 65 (08) :840441-840448
[5]   Doubly-special relativity: First results and key open problems [J].
Amelino-Camelia, G .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (10) :1643-1669
[6]   Testable scenario for relativity with minimum length [J].
Amelino-Camelia, G .
PHYSICS LETTERS B, 2001, 510 (1-4) :255-263
[7]  
Amelino-Camelia G, 2000, LECT NOTES PHYS, V541, P1
[8]   Waves on noncommutative space-time and gamma-ray bursts [J].
Amelino-Camelia, G ;
Majid, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2000, 15 (27) :4301-4323
[9]   Quantum-Spacetime Phenomenology [J].
Amelino-Camelia, Giovanni .
LIVING REVIEWS IN RELATIVITY, 2013, 16
[10]  
Arzano M, 2021, Lecture Notes in Physics, V986