Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking

Nasser Ismail Farahat, Hanaa Abdulkareem Elegla

Physics Department, Islamic University of Gaza, Gaza, Palestine.

DOI: 10.4236/jamp.2013.15016                

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.

Keywords

Hamilton-Jacobi Formalism; Singular Lagrangian; Supersymmetry

Conflicts of Interest

The authors declare no conflicts of interest.

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