Extended D = 3 Bargmann supergravity from a Lie algebra expansion

Extended D = 3 Bargmann supergravity from a Lie algebra expansion

In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from D=3, N=2 superPoincaré and its corresponding Chern-Simons supergravity.

Bibliographic Details
Main Authors: J.A. de Azcárraga, D. Gútiez, J.M. Izquierdo
Format: Article
Language:English
Published: Elsevier 2019-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319301920
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spelling doaj-7dcde8013eb94e17b2ec48294a3cac872020-11-24T21:21:09ZengElsevierNuclear Physics B0550-32132019-09-01946Extended D = 3 Bargmann supergravity from a Lie algebra expansionJ.A. de Azcárraga0D. Gútiez1J.M. Izquierdo2Departamento de Física Teórica and IFIC (CSIC-UVEG), 46100, Burjassot, Valencia, SpainDepartment of Physics, Universidad de Oviedo, 33007, Oviedo, SpainDepartamento de Física Teórica, Universidad de Valladolid, 47011, Valladolid, Spain; Corresponding author.In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from D=3, N=2 superPoincaré and its corresponding Chern-Simons supergravity.http://www.sciencedirect.com/science/article/pii/S0550321319301920
collection DOAJ
language English
format Article
sources DOAJ
author J.A. de Azcárraga
D. Gútiez
J.M. Izquierdo
spellingShingle J.A. de Azcárraga
D. Gútiez
J.M. Izquierdo
Extended D = 3 Bargmann supergravity from a Lie algebra expansion
Nuclear Physics B
author_facet J.A. de Azcárraga
D. Gútiez
J.M. Izquierdo
author_sort J.A. de Azcárraga
title Extended D = 3 Bargmann supergravity from a Lie algebra expansion
title_short Extended D = 3 Bargmann supergravity from a Lie algebra expansion
title_full Extended D = 3 Bargmann supergravity from a Lie algebra expansion
title_fullStr Extended D = 3 Bargmann supergravity from a Lie algebra expansion
title_full_unstemmed Extended D = 3 Bargmann supergravity from a Lie algebra expansion
title_sort extended d = 3 bargmann supergravity from a lie algebra expansion
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2019-09-01
description In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from D=3, N=2 superPoincaré and its corresponding Chern-Simons supergravity.
url http://www.sciencedirect.com/science/article/pii/S0550321319301920
work_keys_str_mv AT jadeazcarraga extendedd3bargmannsupergravityfromaliealgebraexpansion
AT dgutiez extendedd3bargmannsupergravityfromaliealgebraexpansion
AT jmizquierdo extendedd3bargmannsupergravityfromaliealgebraexpansion
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