Question

SUSY: No-Go theorems?

Answer 1

In theoretical physics, a no-go theorem is a theorem that states that a particular situation is not physically possible. Specifically, the term describes results in quantum mechanics like Bell's theorem and the Kochen–Specker theorem that constrain the permissible types of hidden variable theories which try to explain the apparent randomness of quantum mechanics as a deterministic model featuring hidden states

Answer 2

According to the Coleman-Mandula theorem, there is no trivial unification or the Poincaré symmetry and the internal gauge symmetries. However, if we give up the commutator bounds, and we allow for fermionic generators (anticommutators), SUSY rises. My question is very simple:
1. is there some NON-SUSY non trivial symmetry containing both, the Poincaré and internal gauge symmetries, providing the SM plus gravity (diffeomorphism) symmetry?
2. If so, why SUSY after all and why should be expect SUSY to be present even if the no-SUSY scenario could be accomplished?
3. Finally, is SUSY inevitable or are we biased by current unification trials?