Shai M. Chester

The N = 8 superconformal bootstrap in three dimensions

A bstractWe analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of N=8

Exact correlators of BPS Operators from the 3d superconformal bootstrap

\mathcal{N}=8

O(N)

superconformal field theories in three dimensions. We first derive the superconformal blocks by analyzing the superconformal Ward identity. Our results imply that the OPE of the primary operator of the stress-tensor multiplet with itself must have parity symmetry. We then analyze the relations between the crossing equations, and we find that these equations are mostly redundant. We implement the independent crossing constraints numerically and find bounds on OPE coefficients and operator dimensions as a function of the stress-tensor central charge. To make contact with known N=8

< d <

\mathcal{N}=8

Accidental symmetries and the conformal bootstrap

superconformal field theories, we compute this central charge in a few particular cases using supersymmetric localization. For limiting values of the central charge, our numerical bounds are nearly saturated by the large N limit of ABJM theory and also by the free U(1) × U(1) ABJM theory.

Towards bootstrapping QED3

A bstractWe analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of N=8