Symmetries of quantum spacetime in three dimensions

被引：37

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.

引用

页数：17

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