New twisted quantum deformations of D=4 super-Poincare algebra
High Energy Physics - Theory
2008-04-28 v2 Mathematical Physics
math.MP
Quantum 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.
Keywords
Cite
@article{arxiv.0803.4167,
title = {New twisted quantum deformations of D=4 super-Poincare algebra},
author = {A. Borowiec and J. Lukierski and V. N. Tolstoy},
journal= {arXiv preprint arXiv:0803.4167},
year = {2008}
}
Comments
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