κ-Deformed Phase Space, Hopf Algebroid and Twisting

被引：33

作者：

Juric, Tajron ^{[1
]}

Kovacevic, Domagoj ^{[2
]}

Meljanac, Stjepan ^{[1
]}

机构：

[1] Rudjer Boskovic Inst, HR-10000 Zagreb, Croatia

[2] Univ Zagreb, Fac Elect Engn & Comp, HR-10000 Zagreb, Croatia

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2014年 / 10卷

基金：

欧盟地平线“2020”;

关键词：

noncommutative space; kappa-Minkowski spacetime; Hopf algebroid; kappa-Poincare algebra; realizations; twist; MINKOWSKI SPACETIME; DIFFERENTIAL STRUCTURE; FIELD-THEORY; POINCARE; RELATIVITY; REALIZATIONS; DEFORMATION; STATISTICS; SCALE;

D O I：

10.3842/SIGMA.2014.106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. We use the dual base to construct the target map and antipode. The notion of twist is analyzed for kappa-deformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of kappa-Poincare algebra. Several examples of realizations are worked out in details.

引用

页数：18