A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices

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Murgan, Rajan
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In this note, we perform Sklyanin's construction of commuting open-chain/boundary transfer matrices to the q-deformed SU(2|2) bulk S-matrix of Beisert and Koroteev and a corresponding boundary S-matrix. This also includes a corresponding commuting transfer matrix using the graded version of the q-deformed bulk S-matrix. Utilizing the crossing property for the bulk S-matrix, we argue that the transfer matrix for both graded and non-graded versions contains a crucial factor which is essential for commutativity.
Comment: 15 pages, typos corrected; minor revisions
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High Energy Physics - Theory
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