Quantization of N=1,2 superparticle with irreducible constraints

Abstract

An action for the D=10 superparticle with N=1.2 suppersymmetry, containing irreducible (functionally indepndent) Lorentz covariant constraints only, is proposed. The key ingredient is the enlargening of the usual superspace to include additional bosonic harmonic coordinates which transform as Lorentz spinors and are pure gauge degrees of freedom. Upon quantization the extended superparticle provides a Lorentz covariant on-shell description of the linearized D=10 type IIb supergravity. The first-quantized BRST charge contains a multighost interaction term which is inevitable when the functional dependence of the reparametrization and the local fermionic symmetry constraints is correctly taken into account.