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.

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

References in corpus (5)

• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• Twisted Quantum Deformations of Lorentz and Poincaré algebras
• Chains of extended Jordanian twists for Lie superalgebras
• Quantum Deformations of Relativistic Symmetries
• Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras

Cited by in corpus (2)

• A Jordanian deformation of AdS space in type IIB supergravity
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems