I will be starting a Masters degree in physics next year - 30% of the assessment will be a thesis (review, not research). I have selected CFT as a topic and my future advisor has pointed me to Francesco's 'Conformal Field Theory' as the book to use. Francesco's book is very good but I am having trouble bridging the gap between QM and CFT. Obviously the bridge has QFT written on it - but how much QFT do I need? All of Weinberg Vol 1.? I'm concerned I may spend too much time on a interesting but unneeded side path of QFT while I should spend more time on, say, Lie algebra for example. Don't get me wrong - I would love to sit down and work my way through every page of Weinberg (can I hear laughter in the back row?). But with a family, and a finite amount of time, I need to find an efficient path towards understanding the basics of CFT. Has anyone been down this road and could give me some advice? Any help would be much appreciated.