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|
|State||Published - Sep 21 2015|
Bibliographical notePublisher Copyright:
© 2015 IOP Publishing Ltd.
- conformal field theory
- higher spin symmetry
- renormalization group
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy (all)