Why does a SUSY Lagrangian only contain F and D terms?

  • #1
I'm reading a book on AdS/CFT by Ammon and Erdmenger and chapter 3 covers supersymmetry. This isn't my first look at SUSY but it's my first in depth look to really try to understand it, and when they talk about constructing a Lagrangian for ##\mathcal{N}=1## chiral superfields they write the most general form,
$$\mathcal{L} = \underbrace{K(\Phi^k,\Phi^{k\dagger})_{|\theta^2\bar{\theta}^2}}_{\text{D-term}} + \underbrace{\left( W(\Phi^k)_{|\theta^2} + W^{\dagger}(\Phi^{k\dagger})_{|\bar{\theta}^2}\right)}_{\text{F-terms}}$$

Initially this rustled my Jimmies because they had just spent the preceding section having me jump through hoops to deal with all the other component fields then decided only to use these 3, but then they address this directly: "In the Lagrangian, only the D-term ... and the F-terms enter". Unfortunately, this is as detailed as the explanation gets and I was hoping someone could please explain why this is the case and why the remaining 6 component fields don't show up?

Thanks in advance
 
  • Like
Likes arivero

Answers and Replies

Related Threads on Why does a SUSY Lagrangian only contain F and D terms?

  • Last Post
Replies
1
Views
2K
Replies
7
Views
4K
  • Last Post
2
Replies
29
Views
3K
  • Last Post
Replies
16
Views
4K
  • Last Post
Replies
2
Views
2K
Replies
6
Views
2K
  • Last Post
Replies
6
Views
3K
Replies
2
Views
5K
  • Last Post
Replies
18
Views
1K
Top