Symplectic Reduction of the Minimally Coupled Massless Superparticle in D=10

  • John Harnad
  • Joel A. Shapiro
  • Steven Shnider
  • Cyrus C. Taylor
Part of the NATO ASI Series book series (NSSB, volume 245)


In this study of the Brink-Schwarz superparticle in the presence of background non-abelian gauge field, we derive the D=10 super Yang-Mills curvature constraints by demanding an analog of the Siegel supersymmetry. We then show that, assuming F αβ = 0, the twistor transform proposed by Witten can be described using symplectic reduction.


Poisson Bracket Gauge Field Class Constraint Exterior Algebra Dirac Bracket 
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    Harnad, J., Hurtubise, J., and Shnider, S., Supers y mmetric Yang Mills Equations and Supertwistors, Annals of Physics (to appear)Google Scholar
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • John Harnad
    • 1
  • Joel A. Shapiro
    • 2
  • Steven Shnider
    • 3
  • Cyrus C. Taylor
    • 4
  1. 1.Department of MathematicsConcordia UniversityMontrealCanada
  2. 2.Department of Physics and AstronomyRutgers UniversityPiscatawayUSA
  3. 3.Department of MathematicsBen Gurion UniversityBeershevaIsrael
  4. 4.Department of PhysicsCase Western Reserve UniversityClevelandUSA

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