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Begin with a question you can answer in one sitting: what does a supercharge do to a field or a state? You need ordinary quantum field theory and linear algebra to begin. You do not need prior supersymmetry.
- Use Check your starting knowledge to practice a Noether current, a covariant derivative, a Gaussian integral, and two spin matrices. Each question has a complete answer and a focused refresher.
- Read What a supercharge does. Your checkpoint is to distinguish the charge operator, the transformation parameter, and the field variation.
- Work through Grassmann variables and their calculus. Your checkpoint is to evaluate an integral in two anticommuting variables and explain how its sign depends on ordering.
These opening ideas are shared by the three- and four-dimensional routes. Read why these theories are useful for five concrete scientific questions, then choose a learning path by the calculation you want to understand. A dimension label specifies spacetime; a supersymmetry label counts the appropriate spinor generators in that dimension. Neither specifies the gauge-group rank.
Read actively: attempt the worked calculation with one changed input, then use the solutions to find the first step at which your reasoning differs. Milestones and self-assessment gives a complete example of this process. Getting that step right is more useful than memorizing a final expression.