| Abstract: | 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. These relations are obtained by restricting the operator algebra to the cohomology of a certain supercharge, and then solving the associativity constraints in the resulting truncated algebra. We will see that the numerical results are consistent with the above analytic relations. In addition, 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. |
