Massless sector of AdS3 superstrings: A geometric interpretation

Abstract

We study the recently discovered q-deformed Poincaré supersymmetry of the AdS3/CFT2 integrable massless scattering, and demonstrate how the S-matrix is invariant under boosts. The boost generator has a nonlocal coproduct, which acts on the scattering matrix as a differential operator, annihilating it. We propose to reinterpret the boost action in terms of covariant derivatives on bundles, and derive an expression for the S-matrix as the path-ordered exponential of a flat connection. We provide a list of possible alternative interpretations of this emergent geometric picture, including a one-dimensional auxiliary Schrödinger problem. We support our claims by performing a simplified algebraic Bethe ansatz, which bears some resemblance to antiferromagnets.