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Open-chain transfer matrices for AdS/CFT

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abstract

We extend Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT. Using the graded version of the S-matrices leads to a transfer matrix of particularly simple form. We also find an SU(1|1) boundary S-matrix which has one free boundary parameter.

fields

math-ph 1

years

2026 1

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UNVERDICTED 1

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Open-boundary integrable quantum circuits with different geometries

math-ph · 2026-07-02 · unverdicted · novelty 7.0

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 enabling minimum depth four.

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  • Open-boundary integrable quantum circuits with different geometries math-ph · 2026-07-02 · unverdicted · none · ref 52 · internal anchor

    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 enabling minimum depth four.