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27 votes
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What exactly is the relation between string theory and conformal field theory?

One must distinguish between quantum/classical on the string world-sheet and in spacetime. Both of your statements are basically correct, but should read something like "CFT theory is the space of cl …
Jeff Harvey's user avatar
  • 5,546
9 votes

What do correlation functions compute in CFT?

I'm not sure exactly what kind of information you want, and CFT is an enormous subject, but here is some information on the physical interpretation of the complex coordinates and correlation functions …
Jeff Harvey's user avatar
  • 5,546
3 votes

Simple current extensions in VOA theory and CFTs

Regarding your first question, physicists are interested in classifying modular invariant partition functions for two-dimensional rational conformal field theories. Simple currents are a useful tool f …
Jeff Harvey's user avatar
  • 5,546
10 votes

Example for non equivalent rational full CFTs with same modular invariant (partition function)

I have no idea what a ``symmetric haploid Frobenius algebra" is, so my answer may be terribly naive, but given an even-self dual lattice of rank $d$ there is a well known lattice construction of a rat …
Jeff Harvey's user avatar
  • 5,546