Discussion Overview
The discussion revolves around the process of making a given action supersymmetric, particularly focusing on actions involving scalar fields. Participants explore the necessary conditions and methods for incorporating fermionic terms alongside bosonic ones to achieve supersymmetry.
Discussion Character
- Technical explanation
- Debate/contested
Main Points Raised
- One participant inquires about simply adding fermionic terms to a bosonic action to achieve supersymmetry.
- Another participant asserts that there are restrictions on bosonic interactions, indicating that not all bosonic actions can be supersymmetrized by merely adding fermions.
- A participant suggests that for spin-0 scalar fields, one would typically add a spin-1/2 spinor field to create a Wess-Zumino supersymmetric field, noting the requirement for equal degrees of freedom between bosonic and fermionic fields.
- It is mentioned that the supersymmetrization of certain scalar theories, like a non-linear sigma model, is contingent on specific geometric conditions, such as the manifold being a Kaehler manifold.
- Another participant describes a traditional method for achieving supersymmetry by applying supersymmetry variations to the fields and adjusting the action accordingly, highlighting the iterative and complex nature of the process.
Areas of Agreement / Disagreement
Participants express differing views on the feasibility of supersymmetrizing any given bosonic action, with some asserting that restrictions exist while others propose methods for achieving supersymmetry.
Contextual Notes
Participants note that the process of supersymmetrization can be intricate and may depend on specific properties of the fields and the underlying geometry of the models involved.