Analyticity for multi-Regge limits of the Bern–Dixon–Smirnov amplitudes Original Research Article

As a consequence of the AdS/CFT correspondence, planar image super-Yang–Mills image theory is expected to exhibit stringy behavior and multi-Regge asymptotic. In this paper we extend our recent investigation to consider issues of analyticity, a central feature of Regge asymptotics. We contrast flat-space open string theory in the planar limit with the image super-Yang–Mills theory, as represented by the Bern, Dixon and Smirnov (2005) (BDS) conjecture for n-gluon scattering, believed to be exact for image and modified only by a function of cross-ratios for image. It is emphasized that multi-Regge factorization should be applied to trajectories with definite signature. A variety of analyticity and factorization constraints realized in flat space string theory are not satisfied by the BDS conjecture, at least when the exponential factors are truncate in the infra-red regulator below image.