A study of integrable form factors in massless relativistic AdS2

Abstract

AbstractIn this paper we initiate the study of form factors for the massless scattering of integrableAdS2superstrings, where the difference-form of theS-matrix can be exploited to implement the relativistic form factor bootstrap. The non-standard nature of theS-matrix implies that traditional methods do not apply. We use the fact that the masslessAdS2S-matrix is a limit of a better-behavedS-matrix found by Fendley. We show that the previously conjectured masslessAdS2dressing factor coincides with the limit of the De Martino-Moriconi improved dressing factor for the FendleyS-matrix. We then solve the form factor constraints in the two-particle case. Along the way we find a method to construct integral representations of relativistic dressing factors satisfying specific assumptions, and use it to obtain analytic proofs of crossing and unitarity relations.