Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-06-12
Rev.Math.Phys.10:1079-1109,1998
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, LaTeX2e. To be published in Reviews in Math. Phys
Scientific paper
10.1142/S0129055X98000355
Various properties of two kinds of massless representations of the n-conformal (or (n+1)-De Sitter) group $\tilde{G}_n=\widetilde{SO}_0(2,n)$ are investigated for $n\ge2$. It is found that, for space-time dimensions $n\ge3$, the situation is quite similar to the one of the n=4 case for $S_n$-massless representations of the n-De Sitter group $\widetilde{SO}_0(2,n-1)$. These representations are the restrictions of the singletons of $\tilde{G}_n$. The main difference is that they are not contained in the tensor product of two UIRs with the same sign of energy when n>4, whereas it is the case for another kind of massless representation. Finally some examples of Gupta-Bleuler triplets are given for arbitrary spin and $n\ge3$.
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