Title: Large-Twist Limit for Any Charged Operator in N=4 SYM
Abstract: The fishnet theory was obtained as a strongly twisted, weakly coupled limit of N=4 SYM. Though still non-trivial, it is much simpler than the original N=4 SYM theory. The appearance of integrability is better understood (at least for the spectrum), and the holographic dual was constructed from first principles. Both can be tied to the existence of an iterative structure for some of the correlators. However, the fishnet theory only contains two scalar fields, and most of the operators of the original theory are now protected. In particular, the gauge boson has completely decoupled. We argue that it is possible to devise a double-scaling limit for any operator charged under the R-symmetry in N=4 SYM. We consider several examples that were protected in the fishnet theory, including operators containing the gauge boson. We show that the generic situation involves some type of mixing with other operators. This work is a first step towards a systematic expansion of N=4 SYM around the large-twist limit.