Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills

Abstract

We start a systematic study of quarter-BPS operators in four-dimensional N = 4 Super Yang-Mills with gauge group SU(N ) making use of recently developed tools in conformal field theory. We adapt the technology of embedding space tensor structures in four dimensions to the problem of computing R-symmetry tensor structures and we use the underlying chiral algebra to obtain the superconformal Ward identities. This allows us to fix the protected part of the four-point correlators, up to few ambiguities. As applications, we use the Lorentzian inversion formula to study the leading order OPE data in the large N supergravity limit and we make contact with the OPE limit of the five-point function of half-BPS operators.

Scattering bound states in AdS

“…We then use superconformal constraints to solve these unknowns. The superconformal kinematics of such "bound state" four-point functions has recently been analyzed in [38]. Such a bootstrap strategy is similar in spirit to the one first devised in [1,2].…”

Snowmass White Paper: Bootstrapping String Theory

“…It will also be important to restrict the space of theories being studied to those with a single stress tensor operator. This can be done by analyzing the consistency of mixed systems of correlators involving, for instance, the operators studied in [53,62,76]. With these improvements, the goal is to obtain small allowed islands in all holographic 3d and 4d SCFT examples mentioned above, to accurately extract the low-lying CFT data as function of N , and then to expand the result in 1/N .…”

Selected Topics in Analytic Conformal Bootstrap: A Guided Journey

“…Some progress has been made in this direction. In [246] a systematic analysis was carried out for the superconformal kinematics of 4d N = 4 SYM fourpoint functions containing 1 4 -BPS double-trace operators. This paves the way for a future bootstrap strategy.…”