On the covariant quantization of a first-class superparticle

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Abstract
The Batalin–Vilkovisky formalism is used to quantize covariantly a formulation of the superparticle with only first-class constraints. Towers of ghosts are found that split into ghosts-for-ghosts and ghost gauge fields. Subsolutions to the master equation with spinor and bispinor ghosts contain terms cubic in antifields and lead to free gauge-fixed BRST-invariant actions. The final formulation with multispinor ghosts is nilpotent only on the classical shell.

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