Supersymmetry in Elementary Particle Physics · Problem 2.8

Formalism of Supersymmetry

Physics — Particle Physics · chiral-superfield-component-transformation

Problem

Starting from the chiral superfield Φ(x,θ)=ϕ(x)+2θTcψ(x)+θTcθ F(x),\Phi(x,\theta) = \phi(x) + \sqrt{2}\theta^T c\psi(x) + \theta^T c\theta\, F(x) , compute the right-hand side of δξΦ=QξΦ(x+iθˉσˉmθ,θ)\delta_\xi \Phi = \mathcal{Q}_\xi \Phi(x + i\bar{\theta}\bar{\sigma}^m\theta, \theta) and show that the coefficients of powers of θ\theta reproduce precisely the supersymmetry variations given in equation (27).

Browse the problem library