Known examples of unitary relativistic scale but not conformal-invariant field theories (SFTs) can be embedded into conventional conformal field theories (CFTs). We show that any SFT which is a subsector of a unitary CFT is a free theory. Our discussion applies to an arbitrary number of spacetime dimensions and explains triviality of known SFTs in four spacetime dimensions. We comment on examples of unitary SFTs which are not captured by our construction.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 21 Sep 2015|
- conformal field theory
- higher spin symmetry
- renormalization group