Constraining conformal field theories with a slightly broken higher spin symmetry

Understand

We consider three dimensional conformal field theories that have a higher spin symmetry that is slightly broken.

• The theories have a large N limit, in the sense that the operators separate into single trace and multitrace and obey the usual large N factorization properties.
• We assume that the spectrum of single trace operators is similar to the one that one gets in the Vasiliev theories.
• Namely, the only single trace operators are the higher spin currents plus an additional scalar.