DOE RESEARCH AND
Inequivalence of the BrinkSchwarz and Siegel Superparticles #
Theodore J. Allen
California Institute of Technology, Pasadena, CA 91125
Dirac's procedure is applied to the BrinkSchwarz and Siegel superparticle sys
tems. Both systems are exhibited to have the same firstclass constraints. The dif
ference between the systems is the lack of secondclass fermionic constraints in the
Siegel superparticle. Thus the Siegel superparticle has a phase space with twice as
many fermionic degrees of freedom as the BrinkSchwarz superparticle.
# Work supported in part by the U.S. Department of Energy under Contract No. DEAC0381
Since its discovery in 1984 the manifestly supersymmetric string action  has
resisted quantization in a covariant gauge [2, 3, 4]. The supersymmetric particle has
served as a laboratory for those wishing to practice tier methods before attacking the
more complicated mechanics of the superstring.