2
$\begingroup$

I found on some susy lectures (Bertolini, Lectures on Supersymmetry) that R-symmetry definition is:

The largest possible internal symmetry group which can act non trivially on the $Q$’s is thus $U(N)$, and this is called the R-symmetry group

So my question is: why the largest is $U(N)$ and not something else? There are two things that I don't understand

  • why it has to be an $N$-dimensional group (complex dimensions)?

  • why the structure has to be exactly $U(N)$ and not something else with the same dimension?

I split the two points because the intuitive reason behind the first one has to be "because there are $N$ indices on the supercharges" but I don't know how show that this implies the statement.

On the second point I have no ideas at all.

$\endgroup$
0

0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.