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arXiv · hep-th/9411115

$κ$-Deformation of Poincaré Superalgebra with Classical Lorentz Subalgebra and its Graded Bicrossproduct Structure

P. Kosi{ń}ski·J. Lukierski·P. Ma{ś}lanka·J. Sobczyk
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Abstract

The $κ$-deformed $D=4$ Poincar{é} superalgebra written in Hopf superalgebra form is transformed to the basis with classical Lorentz subalgebra generators. We show that in such a basis the $κ$-deformed $D=4$ Poincare superalgebra can be written as graded bicrossproduct. We show that the $κ$-deformed $D=4$ superalgebra acts covariantly on $κ$-deformed chiral superspace.

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P. Kosi{ń}ski, J. Lukierski, P. Ma{ś}lanka, J. Sobczyk. 1994-11-16. $κ$-Deformation of Poincaré Superalgebra with Classical Lorentz Subalgebra and its Graded Bicrossproduct Structure. https://doi.org/10.1088/0305-4470%2F28%2F8%2F017

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