Rebooting quarter-BPS operators in N=4 super Yang-Mills

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.

Automated summary

We conducted a systematic study on quarter-BPS operators in four-dimensional N = 4 Super Yang-Mills using newly developed tools in conformal field theory. By adapting the technology of embedding space tensor structures and utilizing the underlying chiral algebra, we were able to determine the protected part of the four-point correlators. This study has applications in exploring the leading order OPE data in the large N supergravity limit and making connections with the OPE limit of the five-point function of half-BPS operators.