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New twisted quantum deformations of D=4 super-Poincare algebra

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arxiv 0803.4167 v2 pith:MPZPESVL submitted 2008-03-28 hep-th math-phmath.MPmath.QA

A. Borowiec (Univ. of Wroclaw , JINR Dubna) , J. Lukierski (Univ. of Wroclaw) , V.N. Tolstoy (Moscow State Univ.) This is my paper · ORCID
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keywords algebrar-matricestwistsdeformationsobtainedquantumsuper-poincareaddition
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We show how some classical r-matrices for the D=4 Poincare algebra can be supersymmetrized by an addition of part depending on odd supercharges. These r-matrices for D=4 super-Poincare algebra can be presented as a sum of the so-called subordinated r-matrices of super-Abelian and super-Jordanian type. Corresponding twists describing quantum deformations are obtained in an explicit form. These twists are the super-extensions of twists obtained in the paper arXiv:0712.3962.

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    Star products built from active symmetry transformations give gauge-invariant non-commutative theories under a weakened unimodularity condition, with a planar equivalence theorem keeping internal Feynman structure undeformed.

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