Field Theory of Primaries in W_N Minimal Models

Understand

For W_N minimal model CFT's at Large N, we formulate a nonlinear field theory of primary operators.

• A classification of single-trace operators is given first based on which an interacting field theory operating in Fock space is built.
• A hamiltonian is constructed with the property that it reproduces exactly the spectrum of conformal dimensions of all the primaries.
• This field theory is characterized by cubic (and quartic) interactions with G=1/N as an interaction parameter.