Four-dimensional vector multiplets in arbitrary signature (I)
2020 ◽
Vol 17
(10)
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pp. 2050150
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Keyword(s):
We derive a necessary and sufficient condition for Poincaré Lie superalgebras in any dimension and signature to be isomorphic. This reduces the classification problem, up to certain discrete operations, to classifying the orbits of the Schur group on the vector space of superbrackets. We then classify four-dimensional [Formula: see text] supersymmetry algebras, which are found to be unique in Euclidean and in neutral signature, while in Lorentz signature there exist two algebras with R-symmetry groups [Formula: see text] and [Formula: see text], respectively.
1984 ◽
Vol 36
(5)
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pp. 883-898
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1994 ◽
Vol 05
(03)
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pp. 389-419
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2019 ◽
Vol 8
(3)
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2002 ◽
Vol 12
(2)
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pp. 177-201
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1984 ◽
Vol 30
(3)
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pp. 411-420
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
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