New twisted quantum deformations of D=4 super-Poincare algebra
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.4167
- arXiv:
- arXiv:0803.4167
- Bibcode:
- 2008arXiv0803.4167B
- Keywords:
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- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 12 pages, to appear in the Proc. of Inter. Workshop ''Supersymmetries and Quantum Symmetries'' (SQS'07) (Dubna,30.07 - 4.08, 2007), eds S.Fedoruk, E.Ivanov