Massless sector of AdS_3 superstrings: a geometric interpretation

Understand

We study the recently discovered q-deformed Poincare' supersymmetry of the AdS_3/CFT_2 integrable massless scattering, and demonstrate how the S-matrix is invariant under boosts.

• The boost generator has a non-local 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 Schroedinger problem.