- #1
petergreat
- 267
- 4
It's really just a dumb question about spinors. The book says that for N=1 SYM, in 3 or 4D we use Majorana spinors. In 6D we use Weyl spinors. And in 10D we use Majorana-Weyl spinors, so that the number of fermionic states matches D-2.
My questions is, in 4D, Weyl spinors (chiral spinors) also have only 2 degrees of freedom. Why must we use Majorana spinors instead?
In which dimensions do Majorana spinors exist? And which dimensions allow Majorana-Weyl spinors? What are the gamma matrices in these representations? What's the best reference for these issues?
Thanks in advance.
My questions is, in 4D, Weyl spinors (chiral spinors) also have only 2 degrees of freedom. Why must we use Majorana spinors instead?
In which dimensions do Majorana spinors exist? And which dimensions allow Majorana-Weyl spinors? What are the gamma matrices in these representations? What's the best reference for these issues?
Thanks in advance.