Vector supersymmetry from OSp(3,2|2): Casimir operators

✍ Scribed by R. Casalbuoni; F. Elmetti; J. Gomis; K. Kamimura; L. Tamassia; A. Van Proeyen

• Book ID: 105357734
• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 155 KB
• Volume: 57
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200900016

✦ Synopsis

Abstract

In this paper we briefly review the main results obtained in [1], where some algebraic properties of the ‘vector supersymmetry’ (VSUSY) algebra have been studied. VSUSY is a graded extension of the Poincaré 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 Inönü‐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.