Vector Supersymmetry from OSp(3,2|2): Casimir Operators
Abstract
In this paper we briefly review the main results obtained in arXiv:0812.1982, where some algebraic properties of the 'vector supersymmetry' (VSUSY) algebra have been studied. VSUSY is a graded extension of the Poincare' algebra in 4 dimensions with two central charges. We derive all independent Casimir operators of VSUSY and we find two distinct spin-related operators in the case of nonvanishing central charges. One is the analogue of superspin for VSUSY and the other is a new spin, called C-spin, whose value is fixed to 1/2. We also show that the VSUSY algebra and its Casimir operators can be derived by an Inonu-Wigner contraction from OSp(3,2|2). This paper is based on the talk given in Varna, Bulgaria, during the 4-th EU RTN Workshop 2008.
Cite
@article{arxiv.0901.4862,
title = {Vector Supersymmetry from OSp(3,2|2): Casimir Operators},
author = {Roberto Casalbuoni and Federico Elmetti and Joaquim Gomis and Kiyoshi Kamimura and Laura Tamassia and Antoine Van Proeyen},
journal= {arXiv preprint arXiv:0901.4862},
year = {2009}
}
Comments
6 pages, contribution to the proceedings of the 4th RTN Workshop 'Constituents, Fundamental Forces and Symmetries of the Universe', Varna, 11-17 September 2008