Multiparticle Flux Tube S-matrix Bootstrap

Abstract

We introduce the notion of branon jets, states of collinear flux tube excitations. We argue for the analyticity, crossing and unitarity of the multi-particle scattering of these jets and, through the S-matrix bootstrap, place bounds on a set of finite energy multi-particle sum rules. Such bounds define a matrioska of sorts with a smaller and smaller allowed regions as we impose more constraints. The Yang-Mills flux tube, as well as other interesting flux tube theories recently studied through lattice simulations, lie inside a tiny island hundreds of times smaller than the most general space of allowed two-dimensional theories.