Exact correlators of BPS Operators from the 3d superconformal bootstrap

摘要: We use the superconformal bootstrap to derive exact relations between OPE coefficients in three-dimensional field theories with $$ \mathcal{N}\ge 4 $$ supersymmetry. These follow from a consistent truncation of crossing symmetry equations that is associated cohomology certain supercharge. In \mathcal{N}=4 SCFTs, non-trivial classes are one-to-one correspondence half-BPS operators, provided these operators restricted lie on line. The we find powerful enough allow us determine an infinite number interacting SCFT (U(2)2 × U(1)−2 ABJ theory) constitutes IR limit O(3) \mathcal{N}=8 super-Yang-Mills theory. More generally, SCFTs unique stress tensor, led conjecture many multiplets allowed by group theory must actually be absent spectrum, and test this known using index. For generic also improve numerical bounds short semi-short discuss their relation derived. particular, show kink previously observed arises disappearance quarter-BPS multiplet, location likely tied existence U(2)2 AJ theory, which can argued not possess multiplet.