Journal of Applied Mathematics and Physics
Volume 1, Issue 5 (November 2013)
ISSN Print: 2327-4352 ISSN Online: 2327-4379
Google-based Impact Factor: 0.70 Citations
Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking ()
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ABSTRACT
We present path integral quantization of a massive superparticle in d =4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N = 8 to N = 2. Its worldline action contains a Wess-Zumino term, explicitly breaks d =4 Lorentz symmetry and exhibits one complex fermionic k-symmetry. We perform the Hamilton-Jacobi formalism of constrained systems, to obtain the equations of motion of the model as total differential equations in many variables. These equations of motion are in exact agreement with those obtained by Dirac’s method.
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