Differential forms and κ-Minkowski spacetime from extended twist

被引:14
|
作者
Juric, Tajron [1 ]
Meljanac, Stjepan [1 ]
Strajn, Rina [2 ]
机构
[1] Rudjer Boskovic Inst, Zagreb 10002, Croatia
[2] Jacobs Univ Bremen, D-28759 Bremen, Germany
来源
EUROPEAN PHYSICAL JOURNAL C | 2013年 / 73卷 / 07期
关键词
FIELD-THEORY; POINCARE; RELATIVITY; TIME; REALIZATIONS; STATISTICS; CALCULUS; ALGEBRA; SCALE;
D O I
10.1140/epjc/s10052-013-2472-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We analyze bicovariant differential calculus on kappa-Minkowski spacetime. It is shown that corresponding Lorentz generators and noncommutative coordinates compatible with bicovariant calculus cannot be realized in terms of commutative coordinates and momenta. Furthermore, kappa-Minkowski space and NC forms are constructed by twist related to a bicrossproduct basis. It is pointed out that the consistency condition is not satisfied. We present the construction of kappa-deformed coordinates and forms (super-Heisenberg algebra) using extended twist. It is compatible with bicovariant differential calculus with kappa-deformed igl(4)-Hopf algebra. The extended twist leading to kappa-Poincare-Hopf algebra is also discussed.
引用
收藏
页码:1 / 8
页数:8
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