Speaker
Connor Behan
(University of Oxford)
Description
The numerical bootstrap finds crossing symmetric four-point functions which have real OPE coefficients in their conformal block expansions. Some of these are four-point functions of unitary CFTs while others are part of non-unitary CFTs that simply require more correlators before we can see the non-unitarity.
I will discuss this phenomenon in the context of 2D where the bounds are saturated by non-unitary CFTs which are exactly solvable; the generalized minimal models. The methods will be general enough to prove or disprove positivity when there is an extended chiral algebra as well.