Nonrelativistic spin-3 symmetries in 2+1 dimensions from expanded and extended Nappi-Witten algebras

被引：3

作者：

Caroca, Ricardo ^{[1
]}

Penafiel, Diego M. ^{[2
]}

Salgado-Rebolledo, Patricio ^{[3
]}

机构：

[1] Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Alonso Ribera 2850, Concepcion, Chile

[2] Univ Arturo Prat, Fac Ciencias, Inst Ciencias Exactas & Nat, Ave Arturo Prat Chacon 2120, Iquique 1110939, Chile

[3] Wroclaw Univ Sci & Technol, Inst Theoret Phys, PL-50370 Wroclaw, Poland

来源：

PHYSICAL REVIEW D | 2023年 / 107卷 / 06期

关键词：

EXTERNAL ELECTROMAGNETIC-FIELD; GROUP-THEORETICAL ANALYSIS; ELEMENTARY-PARTICLES; CONSTANT; GRAVITY; EQUATIONS; DYNAMICS;

D O I：

10.1103/PhysRevD.107.064034

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that infinite families of Galilean spin-3 symmetries in 2 + 1 dimensions, which include higher-spin extensions of the Bargmann, Newton-Hooke, nonrelativistic Maxwell, and nonrelativistic AdS-Lorentz algebras, can be obtained as Lie algebra expansions of two different spin-3 extensions of the Nappi-Witten symmetry. These higher-spin Nappi-Witten algebras, in turn, are obtained by means of Inonu-Wigner contractions applied to suitable direct product extensions of 9l(3, R). Conversely, we show that the same result can be obtained by considering contractions of expanded 9l(3, R) algebras. The method can be used to define nonrelativistic higher-spin Chern-Simon gravity theories in 2 + 1 dimensions in a systematic way.

引用

页数：34

共 22 条

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