English

N=1/2 Global SUSY: R-Matrix Approach

High Energy Physics - Theory 2015-06-04 v3 Mathematical Physics math.MP

Abstract

R-matrix method is used to construct supersymmetric extensions of theta - Euclidean group preserving N = 1/2 supersymmetry and its three- parameter generalization. These quantum symmetry supergroups can be considered as global counterparts of appropriately twisted Euclidean superalgebras. The corresponding generalized global symmetry transformations act on deformed superspaces as the usual ones do on undeformed spaces. However, they depend on non(anti)commuting parameters satisfying (anti)commutation relations defined by relevant R matrix.

Keywords

Cite

@article{arxiv.1203.5067,
  title  = {N=1/2 Global SUSY: R-Matrix Approach},
  author = {C. Gonera and M. Wodzislawski},
  journal= {arXiv preprint arXiv:1203.5067},
  year   = {2015}
}

Comments

30 pages, a number of typos corrected; two references added

R2 v1 2026-06-21T20:38:33.673Z