TITLE:
Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking
AUTHORS:
Nasser Ismail Farahat, Hanaa Abdulkareem Elegla
KEYWORDS:
Hamilton-Jacobi Formalism; Singular Lagrangian; Supersymmetry
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.5,
November
12,
2013
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.