Infinite-dimensional R-matrices for the relativistic scattering of massless modes on ${\mathrm{AdS}}_2$

Abstract

We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on ${\mathrm{AdS}}_2$ near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the R-matrices reproduces finite-dimensional scattering of massless modes on ${\mathrm{AdS}}_2$, from which the R-matrices borrow modified braiding unitary. We also prove that the R-matrices enjoy an infinite-dimensional symmetry superalgebra that embeds that of ${\mathrm{AdS}}_2$. Finally, we verify that the R-matrices are also invariant under crossing symmetry.

22 pages. v2: minor modifications, references added. v3: discussion on crossing expanded, references added