Vector Supersymmetry from OSp(3,2|2): Casimir Operators

Details Vector Supersymmetry from OSp(3,2|2): Casimir Operators Vector Supersymmetry from OSp(3,2|2): Casimir Operators

2009-01-30

arxiv.org/abs/0901.4862v1

Fortsch.Phys.57:521-526,2009

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, contribution to the proceedings of the 4th RTN Workshop 'Constituents, Fundamental Forces and Symmetries of the Unive

Scientific paper

10.1002/prop.200900016

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.

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