High Energy Theory Seminar

I will discuss the recent application of the conformal bootstrap program to superconformal field theories (SCFTs) in 3d, focusing on maximally supersymmetric theories. In particular, the constraints from unitarity and crossing symmetry on the 4-point function of the stress-tensor multiplet can be implemented numerically, and lead to stringent bounds on OPE coefficients and operator dimensions. Moreover, in these SCFTs it is possible to derive relations between certain OPE coefficients analytically. For the interacting SCFT that constitutes the IR limit of O(3) maximally supersymmetric Yang-Mills, the above constraints are powerful enough to allow for an explicit computation of 3-point functions of 1/2-BPS operators.