Minimal AdS-Lorentz supergravity in three-dimensions

被引:19
作者
Fierro, O. [3 ]
Izaurieta, F. [2 ]
Salgado, P. [2 ]
Valdivia, O. [1 ]
机构
[1] Univ Arturo Prat, Fac Ingn & Arquitectura, Iquique, Chile
[2] Univ Concepcion, Dept Fis, Casilla 160-C, Concepcion, Chile
[3] Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Alonso Rivera 2850, Concepcion, Chile
关键词
GRAVITY; EXPANSIONS; ALGEBRAS; LIE; EXTENSION; PARTICLES; CONSTANT; DYNAMICS;
D O I
10.1016/j.physletb.2018.10.066
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The N = 1 AdS-Lorentz superalgebra is studied and its relationship to semigroup expansion developed. Using this mathematical tool, the invariant tensors and Casimir operators are found. In terms of these invariants, a three-dimensional Chern-Simons supergravity action with AdS-Lorentz symmetry is constructed. The Killing spinors for a BTZ black-hole like solution of the theory are discussed. (C) 2018 The Authors. Published by Elsevier B.V.
引用
收藏
页码:198 / 205
页数:8
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  • [1] A CHERN-SIMONS ACTION FOR 3-DIMENSIONAL ANTI-DESITTER SUPERGRAVITY THEORIES
    ACHUCARRO, A
    TOWNSEND, PK
    [J]. PHYSICS LETTERS B, 1986, 180 (1-2) : 89 - 92
  • [2] EXTENDED SUPERGRAVITIES IN D=2+1 AS CHERN-SIMONS THEORIES
    ACHUCARRO, A
    TOWNSEND, PK
    [J]. PHYSICS LETTERS B, 1989, 229 (04) : 383 - 387
  • [3] Supersymmetric 3D model for gravity with SU(2) gauge symmetry, mass generation and effective cosmological constant
    Alvarez, Pedro D.
    Pais, Pablo
    Rodriguez, Eduardo
    Salgado-Rebolledo, Patricio
    Zanelli, Jorge
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (17)
  • [4] Newtonian gravity and the Bargmann algebra
    Andringa, Roel
    Bergshoeff, Eric
    Panda, Sudhakar
    de Roo, Mees
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (10)
  • [5] [Anonymous], 2008, LECT NOTES CHERN SIM
  • [6] [Anonymous], ARXIV10043194HEPTH
  • [7] [Anonymous], ARXIV180508834HEPTH
  • [8] GROUP-THEORETICAL ANALYSIS OF ELEMENTARY PARTICLES IN AN EXTERNAL ELECTROMAGNETIC FIELD .1. RELATIVISTIC PARTICLE IN A CONSTANT AND UNIFORM FIELD
    BACRY, H
    COMBE, P
    RICHARD, JL
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1970, 67 (02): : 267 - +
  • [9] BLACK-HOLE IN 3-DIMENSIONAL SPACETIME
    BANADOS, M
    TEITELBOIM, C
    ZANELLI, J
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (13) : 1849 - 1851
  • [10] Higher dimensional Chern-Simons supergravity
    Banados, M
    Troncoso, R
    Zanelli, J
    [J]. PHYSICAL REVIEW D, 1996, 54 (04): : 2605 - 2611