Quantization Of Superparticle Research Articles

Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking

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.

Quantization of superparticle and superstring with Siegel's modification

The Green-Schwarz-Siegel superstring is shown to have infinitely reducible symmetry (even in the light-cone gauge). The zero-mode matrix Z n An−1 An is not invertible starting from the first stage n=1. Therefore this theory may by truncated either on the zero stage, which leads to the GS theory, or not truncated at all, i.e. it has an infinite number of ghosts for ghosts.