So, I am quite new to CFT (and a as descriptive answer as possible would be appreciated). I want to know what uniquely defines a CFT in 2D and otherwise.
Firstly in 2D, What defines a CFT? So I know we start with a central charge, and a set of primary fields with given conformal dimensions. What else is required?
I have heard that your spectrum of primary fields, and three point correlators uniquely defines a CFT. Can someone elaborate on this? How can you find OPEs of arbitrary string of fields from three point correlators? Is this true in all dimensions?
How does this fit in with the method of conformal bootstrap? AFAIK, conformal bootstrap is imposing some adhoc dynamical relations on the operator algebra coefficients. I have just seen this word thrown around, can someone explain properly how does this help in defining a CFT?
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