Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-08
JHEP 0702:072,2007
Physics
High Energy Physics
High Energy Physics - Theory
21 pages
Scientific paper
10.1088/1126-6708/2007/02/072
Higher spin fields in four dimensions, and more generally conformal fields in arbitrary dimensions, can be described by spinning particle models with a gauged SO(N) extended supergravity on the worldline. We consider here the one-loop quantization of these models by studying the corresponding partition function on the one-dimensional torus. After gauge fixing the supergravity multiplet, the partition function reduces to an integral over the corresponding moduli space which is computed using orthogonal polynomial techniques. We obtain a compact formula which gives the number of physical degrees of freedom for all N in all dimensions. As an aside we compute the physical degrees of freedom of the SO(4) = SU(2)xSU(2) model with only a SU(2) factor gauged, which has attracted some interest in the literature.
Bastianelli Fiorenzo
Corradini Olindo
Latini Emanuele
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