We study the boundary integrability problem of the massless sector of AdS₃ × S³ × T⁴ string theory. Exploiting the difference-form of the massless scattering theory, we find a very simple and exhaustive list of reflection matrices for all the possible boundary coideal subalgebras - singlet and vector representations, right and left boundary - and check basic properties of our solutions, primarily the boundary Yang-Baxter equation, for all possible combinations of scattering particles.
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Bielli et al. (2024) studied this question.
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