The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.
机构:
Univ Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, EnglandUniv Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, England