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.

Higher spin fields from a worldline perspective / Fiorenzo, Bastianelli; Corradini, Olindo; Emanuele, Latini. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 0702 (2007) 072:(2007), pp. 0-18. [10.1088/1126-6708/2007/02/072]

### Higher spin fields from a worldline perspective

#### Abstract

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.
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Higher spin fields from a worldline perspective / Fiorenzo, Bastianelli; Corradini, Olindo; Emanuele, Latini. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 0702 (2007) 072:(2007), pp. 0-18. [10.1088/1126-6708/2007/02/072]
Fiorenzo, Bastianelli; Corradini, Olindo; Emanuele, Latini
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11380/1074626`
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