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• W3102657768 abstract "A bstract In this work we present the ultra-relativistic $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> -extended AdS Chern-Simons supergravity theories in three spacetime dimensions invariant under $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> -extended AdS Carroll superalgebras. We first consider the (2 , 0) and (1 , 1) cases; subsequently, we generalize our analysis to $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = ( $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> , 0), with $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> even, and to $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = ( p, q ), with p, q > 0. The $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> -extended AdS Carroll superalgebras are obtained through the Carrollian (i.e., ultra-relativistic) contraction applied to an so (2) extension of $$ mathfrak{osp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>osp</mml:mi> </mml:math> (2|2) ⊗ $$ mathfrak{sp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>sp</mml:mi> </mml:math> (2), to $$ mathfrak{osp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>osp</mml:mi> </mml:math> (2|1) ⊗ $$ mathfrak{osp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>osp</mml:mi> </mml:math> (2 , 1), to an $$ mathfrak{so}left(mathcal{N}right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>so</mml:mi> <mml:mfenced> <mml:mi>N</mml:mi> </mml:mfenced> </mml:math> extension of $$ mathfrak{osp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>osp</mml:mi> </mml:math> (2| $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> ) ⊗ $$ mathfrak{sp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>sp</mml:mi> </mml:math> (2), and to the direct sum of an $$ mathfrak{so} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>so</mml:mi> </mml:math> ( p ) ⊕ $$ mathfrak{so} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>so</mml:mi> </mml:math> ( q ) algebra and $$ mathfrak{osp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>osp</mml:mi> </mml:math> (2 |p ) ⊗ $$ mathfrak{osp} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>osp</mml:mi> </mml:math> (2 , q ), respectively. We also analyze the flat limit ( ℓ → ∞, being ℓ the length parameter) of the aforementioned $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> -extended Chern-Simons AdS Carroll supergravities, in which we recover the ultra-relativistic $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> -extended (flat) Chern-Simons supergravity theories invariant under $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> -extended super-Carroll algebras. The flat limit is applied at the level of the superalgebras, Chern-Simons actions, supersymmetry transformation laws, and field equations." @default.
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• W3102657768 title "$$ mathcal{N} $$-extended Chern-Simons Carrollian supergravities in 2 + 1 spacetime dimensions" @default.
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• W3102657768 doi "https://doi.org/10.1007/jhep02(2020)128" @default.
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