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We construct infinite-dimensional R-matrices that generalise the relativisticscattering of massless modes with the same chirality on $\mathrm{AdS}_2$ nearthe Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of theR-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 symmetrysuperalgebra that embeds that of $\mathrm{AdS}_2$. Finally, we verify that theR-matrices are also invariant under crossing symmetry.

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