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arXiv · hep-th/0301067

Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry

Mikhail Plyushchay·Dmitri Sorokin·Mirian Tsulaia
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Abstract

It is shown that the quantization of a superparticle propagating in an N=1, D=4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher spin fields in flat and AdS_4 N=1 superspace. The tensorial extension of the AdS_4 superspace is proved to be a supergroup manifold OSp(1|4). The model is manifestly invariant under an OSp(N|8) (N=1,2) superconformal symmetry. As a byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n) groups are GL(2n) flat, i.e. they are equivalent to flat Cartan forms up to a GL(2n) rotation. This property is crucial for carrying out the quantization of the particle model on OSp(1|4) and getting the higher spin field dynamics in super AdS_4, which can be performed in a way analogous to the flat case.

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Mikhail Plyushchay, Dmitri Sorokin, Mirian Tsulaia. 2003-04-16. Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry. https://doi.org/10.1088/1126-6708%2F2003%2F04%2F013

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