Siegel superparticle, higher order fermionic constraints, and path integrals

Abstract

We study Siegel superparticle moving in $R^{4|4}$ flat superspace. Canonical quantization is accomplished yielding the massless Wess-Zumino model as an effective field theory. Path integral representation for the corresponding superpropagator is constructed and proven to involve the Siegel action in a gauge fixed form. It is shown that higher order fermionic constraints intrinsic in the theory, though being a consequence of others in $d=4$, make a crucial contribution into the path integral.

22 pages, LaTex file

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• Towards a stringy extension of self-dual super Yang-Mills
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• On minimal coupling of the ABC-superparticle to supergravity background