Navigator function for the conformal bootstrap

Current numerical conformal bootstrap techniques carve out islands in theory space by repeatedly checking whether points are allowed or excluded. We propose a new method for searching that replaces the binary information "allowed"/"excluded" with continuous "navigator" function is negative region and positive excluded region. Such navigator allows one to efficiently explore high-dimensional parameter spaces smoothly sail towards any they may contain. The specific functions we introduce have several attractive features: everywhere well-defined, can be computed standard methods, evaluation of their gradient immediate due an SDP formula provide. latter property use efficient quasi-Newton optimization which illustrate navigating 3d Ising island.