Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions

Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions

We explore N=1 supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one fermionic charge Qα concerning the so-called res...

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Main Authors: Patrick Concha, Remigiusz Durka, Evelyn Rodríguez
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320304627
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spelling doaj-4632d4b65b984de0be853dacb5acd0e72020-11-25T03:38:29ZengElsevierPhysics Letters B0370-26932020-09-01808135659Resonant superalgebras and N=1 supergravity theories in three spacetime dimensionsPatrick Concha0Remigiusz Durka1Evelyn Rodríguez2Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile; Corresponding author.Institute for Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, PolandDepartamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Viña del Mar, ChileWe explore N=1 supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one fermionic charge Qα concerning the so-called resonant algebras being characterized by the presence of an additional bosonic generator Za. We point out particular requirements that superalgebras have to satisfy to be successfully incorporated within valid supergravity actions. The presented algebraic and Lagrangian framework helps us better understand the relations between the various supergravity and supersymmetric Chern-Simons actions invariant under diverse resonant superalgebras.http://www.sciencedirect.com/science/article/pii/S0370269320304627
collection DOAJ
language English
format Article
sources DOAJ
author Patrick Concha
Remigiusz Durka
Evelyn Rodríguez
spellingShingle Patrick Concha
Remigiusz Durka
Evelyn Rodríguez
Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
Physics Letters B
author_facet Patrick Concha
Remigiusz Durka
Evelyn Rodríguez
author_sort Patrick Concha
title Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
title_short Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
title_full Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
title_fullStr Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
title_full_unstemmed Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
title_sort resonant superalgebras and n=1 supergravity theories in three spacetime dimensions
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-09-01
description We explore N=1 supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one fermionic charge Qα concerning the so-called resonant algebras being characterized by the presence of an additional bosonic generator Za. We point out particular requirements that superalgebras have to satisfy to be successfully incorporated within valid supergravity actions. The presented algebraic and Lagrangian framework helps us better understand the relations between the various supergravity and supersymmetric Chern-Simons actions invariant under diverse resonant superalgebras.
url http://www.sciencedirect.com/science/article/pii/S0370269320304627
work_keys_str_mv AT patrickconcha resonantsuperalgebrasandn1supergravitytheoriesinthreespacetimedimensions
AT remigiuszdurka resonantsuperalgebrasandn1supergravitytheoriesinthreespacetimedimensions
AT evelynrodriguez resonantsuperalgebrasandn1supergravitytheoriesinthreespacetimedimensions
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