N=2 resonant superalgebra for supergravity

We present new superalgebra for N=2 D=3,4 supergravity theory endowed with the U(1) generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz Jab and Lorentz-like Zab, translation Pa and T generators, as well as two supercharges QαI. It is the only possi...

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Main Authors: Remigiusz Durka, Krzysztof M. Graczyk
Format: Article
Language:English
Published: Elsevier 2022-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322005007
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author Remigiusz Durka
Krzysztof M. Graczyk
author_facet Remigiusz Durka
Krzysztof M. Graczyk
author_sort Remigiusz Durka
collection DOAJ
description We present new superalgebra for N=2 D=3,4 supergravity theory endowed with the U(1) generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz Jab and Lorentz-like Zab, translation Pa and T generators, as well as two supercharges QαI. It is the only possible realization for a given generator content. We construct a corresponding 3D Chern-Simons supergravity realization of the superalgebra and discuss its relevance.
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spelling doaj.art-d2d4b24bbc2f4915beb3a9bc41a92d432022-12-22T04:02:23ZengElsevierPhysics Letters B0370-26932022-10-01833137366N=2 resonant superalgebra for supergravityRemigiusz Durka0Krzysztof M. Graczyk1Corresponding author.; University of Wrocław, Institute for Theoretical Physics, pl. M. Borna 9, 50-204 Wrocław, PolandUniversity of Wrocław, Institute for Theoretical Physics, pl. M. Borna 9, 50-204 Wrocław, PolandWe present new superalgebra for N=2 D=3,4 supergravity theory endowed with the U(1) generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz Jab and Lorentz-like Zab, translation Pa and T generators, as well as two supercharges QαI. It is the only possible realization for a given generator content. We construct a corresponding 3D Chern-Simons supergravity realization of the superalgebra and discuss its relevance.http://www.sciencedirect.com/science/article/pii/S0370269322005007
spellingShingle Remigiusz Durka
Krzysztof M. Graczyk
N=2 resonant superalgebra for supergravity
Physics Letters B
title N=2 resonant superalgebra for supergravity
title_full N=2 resonant superalgebra for supergravity
title_fullStr N=2 resonant superalgebra for supergravity
title_full_unstemmed N=2 resonant superalgebra for supergravity
title_short N=2 resonant superalgebra for supergravity
title_sort n 2 resonant superalgebra for supergravity
url http://www.sciencedirect.com/science/article/pii/S0370269322005007
work_keys_str_mv AT remigiuszdurka n2resonantsuperalgebraforsupergravity
AT krzysztofmgraczyk n2resonantsuperalgebraforsupergravity