In supersymmetry (SUSY), charge plays an important role in determining the behavior of particles. Supersymmetry is a theoretical framework in particle physics that suggests the existence of a symmetry between fundamental particles that have different spin quantum numbers. This symmetry introduces a new set of particles called supersymmetric partners or "sparticles" for the known particles in the Standard Model of particle physics.
Charge is a fundamental property of particles, and it is conserved in most particle interactions. In the context of supersymmetry, the charges associated with particles are extended to their supersymmetric partners in a way that maintains the underlying symmetry.
For each particle in the Standard Model, there is a corresponding sparticle with the same quantum numbers (such as charge, spin, color, etc.) except for spin. Spin-0 particles in the Standard Model (like the Higgs boson) have spin-1/2 supersymmetric partners, and spin-1/2 particles (like quarks and leptons) have spin-0 supersymmetric partners.
For example, let's consider the case of an electron and its supersymmetric partner, the selectron. The electron has an electric charge of -1, and the selectron would also have an electric charge of -1, preserving the charge conservation in interactions involving these particles.
However, it's important to note that supersymmetry is not directly observed in experiments so far. If supersymmetry were realized in nature, it would have far-reaching implications for the particle spectrum and interactions, potentially providing a solution to some of the outstanding problems in particle physics, such as the hierarchy problem and the nature of dark matter. Researchers have been searching for evidence of supersymmetry through experiments at high-energy particle colliders like the Large Hadron Collider (LHC), but as of my last knowledge update in September 2021, no direct experimental evidence for supersymmetry had been found.
In summary, in the context of supersymmetry, the charge of particles is conserved and extended to their supersymmetric partners, reflecting the underlying symmetry between these different types of particles.