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arxiv: 2403.18594 · v2 · pith:DTRHG7BOnew · submitted 2024-03-27 · ✦ hep-th

Boundary scattering in massless AdS₃

classification ✦ hep-th
keywords boundarymasslessscatteringpossibletheorytimesbasiccheck
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We study the boundary integrability problem of the massless sector of $AdS_3 \times S^3 \times T^4 $ 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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    Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabl...