Symmetries of quantum spacetime in three dimensions

被引：36
作者：
Cianfrani, Francesco [1 ]
Kowalski-Glikman, Jerzy [1 ]
Pranzetti, Daniele [2 ]
Rosati, Giacomo [1 ]
机构：
[1] Univ Wroclaw, Inst Theoret Phys, Pl Maksa Borna 9, PL-50204 Wroclaw, Poland
[2] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
来源：
PHYSICAL REVIEW D | 2016年 / 94卷 / 08期
关键词：
FIELD-THEORY; (2+1)-DIMENSIONAL GRAVITY; COSMOLOGICAL CONSTANT; POINCARE ALGEBRA; Q-DEFORMATION; PHENOMENOLOGY; PARTICLE; GEOMETRY; LORENTZ;
D O I：
10.1103/PhysRevD.94.084044
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant Lambda, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of SDq(4), with q = exp (i (h) over bar root Lambda/2 kappa). By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping kappa finite, we obtain the kappa-Poincare algebra of the flat quantum spacetime symmetries.
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页数：17
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