title: N=4 superconformal bootstrap.
abstract: We implement the conformal bootstrap for N=4 superconformal field theories in four dimensions. The consistency of the four-point function of the stress-energy tensor multiplet imposes significant upper bounds for the scaling dimensions of unprotected local operators as functions of the central charge of the theory. At the threshold of exclusion, a particular operator spectrum appears to be singled out by the bootstrap constraints. We conjecture that this extremal spectrum is that of N=4 supersymmetric Yang-Mills theory at an S-duality invariant value of the complexified gauge coupling.
authors.affiliation: Simons Center for Geometry and Physics, Stony Brook University (SUNY), Stony Brook, New York 11794-3636, USA.
authors.forename: Christopher
authors.initials: C
authors.lastname: Beem
authors.forename: Leonardo
authors.initials: L
authors.lastname: Rastelli
authors.forename: Balt C
authors.initials: BC
authors.lastname: van Rees