# Looking for intro to Conformal Bootstrap

I want to start looking at the conformal bootstrap. I've heard very interesting things about it but would like to clear some things up first.

I taken QFT at the level of Peskin & Schroeder, written a bachelors thesis on quantum integrability, know complex analysis up to things like mobius transformations and conformal mappings, functional analysis and algebraic topology. Then stuff like EM with Jackson and QM with Merzbacher's books etc.

What resources are best for working up to the conformal bootstrap?

From what I've seen the bootstrap seems to be heavily numerical. I'm extremely used to exact analytical expressions so would like to know the use of the bootstrap, particularly in relation to N=4 SYM (recently looked through a paper on this topic but it was above my level) or even general QFT.

• The TASI lectures by David Simmons Duffin on this topic are really good. Aug 14, 2016 at 12:37

If you have not seen it yet, conformal bootstrap in $1+1$ is extremely powerful, and in many cases essentially determine the whole theory. Everything is done analytically. Recent works of higher-dimensional generalizations share many basic features with the $1+1$ version, so it seems not a bad idea to start from there.