Non-commutative spacetime in very special relativity

被引：21

作者：

Das, Sudipta ^{[2
]}

Ghosh, Subir ^{[2
]}

Mignemi, Salvatore ^{[1
,3
]}

机构：

[1] Univ Cagliari, Dipartimento Matemat, I-09123 Cagliari, Italy

[2] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India

[3] Sez Cagliari, INFN, Cagliari, Italy

来源：

PHYSICS LETTERS A | 2011年 / 375卷 / 37期

关键词：

S.G. would like to thank Professor Gibbons for discussions on VSR during his visit to DAMTP. S.G. also thanks Department of Mathematics; University of Cagliari; where a major part of the work was carried out;

D O I：

10.1016/j.physleta.2011.07.024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of Very Special Relativity is to show that the ISIM(2) subgroup of the Poincare group is sufficient to describe the spacetime symmetries of the so far observed physical phenomena. A deformation of such group, called DISIMb(2), was later introduced. In the present work, we present a novel non-commutative spacetime structure, underlying the DISIMb(2), that allows us to construct explicitly the generators of the group. Exploiting the Darboux map technique, we then construct a point particle Lagrangian that lives in the non-commutative phase space proposed by us. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：3237 / 3242

页数：6

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