Higher Spin Superalgebras in any Dimension and their Representations

  title={Higher Spin Superalgebras in any Dimension and their Representations},
  author={Mikhail A. Vasiliev and I. E. Tamm},
Fock module realization for the unitary singleton representations of the d − 1 dimensional conformal algebra o(d − 1, 2), which correspond to the spaces of single-particle states of massless scalar and spinor in d− 1 dimensions, is given. The pattern of the tensor product of a pair of singletons is analyzed in any dimension. It is shown that for d > 3 the tensor product of two boson singletons decomposes into a sum of all integer spin totally symmetric massless representations in AdSd, the… CONTINUE READING
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