QUANTIZED SUPERTWISTORS, HIGHER SPIN SUPERALGEBRAS AND SUPERSINGLETONS

We introduce supertwistors in D=3 and D=4 as describing the canonical coordinates in two models of fundamental phase space with respectively OSP(N; 4) and u(2, 2; N) invariant fundamental Poisson brackets. The infinite superalgebra of normally ordered polynomials in quantized supertwistor variables can be identified with recently proposed D=3 and D=4 higher spin superalgebras. We consider the supersingleton representations of OSP(N, 4), and OSP(2N, 8) as describing fundamental realizations of D=3 and D=4 supertwistor quantum mechanics.