English

Maximally extended sl(2|2), q-deformed d(2,1;epsilon) and 3D kappa-Poincar\'e

Mathematical Physics 2017-07-11 v2 High Energy Physics - Theory math.MP Quantum Algebra

Abstract

We show that the maximal extension sl(2) times psl(2|2) times C3 of the sl(2|2) superalgebra can be obtained as a contraction limit of the semi-simple superalgebra d(2,1;epsilon) times sl(2). We reproduce earlier results on the corresponding q-deformed Hopf algebra and its universal R-matrix by means of contraction. We make the curious observation that the above algebra is related to kappa-Poincar\'e symmetry. When dropping the graded part psl(2|2) we find a novel one-parameter deformation of the 3D kappa-Poincar\'e algebra. Our construction also provides a concise exact expression for its universal R-matrix.

Keywords

Cite

@article{arxiv.1704.05093,
  title  = {Maximally extended sl(2|2), q-deformed d(2,1;epsilon) and 3D kappa-Poincar\'e},
  author = {Niklas Beisert and Reimar Hecht and Ben Hoare},
  journal= {arXiv preprint arXiv:1704.05093},
  year   = {2017}
}

Comments

25 pages