DOE RESEARCH AND
Inequivalence of the Brink-Schwarz and Siegel Superparticles
Theodore J. Allen
California Institute of Technology, Pasadena, CA 91125
Dirac's procedure is applied to the Brink-Schwarz and Siegel superparticle sys-
tems. Both systems are exhibited to have the same first-class constraints. The dif-
ference between the systems is the lack of second-class fermionic constraints in the
Siegel superparticle. Thus the Siegel superparticle has a phase space with twice as
many fermionic degrees of freedom as the Brink-Schwarz superparticle.
Work supported in part by the U.S. Department of Energy under Contract No. DEAC-03-81-
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.
The phase space structures of the superstring and, to a lesser extent, of the