Summary: CALT­68­1373
DOE RESEARCH AND
DEVELOPMENT REPORT
Inequivalence of the Brink­Schwarz and Siegel Superparticles #
Theodore J. Allen
California Institute of Technology, Pasadena, CA 91125
Abstract
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
ER40050

1. Introduction
Since its discovery in 1984 the manifestly supersymmetric string action [1] 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.

Source: Allen, Theodore J. - Physics Department, Hobart and William Smith Colleges

Collections: Physics