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arXiv · 0906.4361

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

Rajan Murgan
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Abstract

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.

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Rajan Murgan. 2009-08-13. A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices. https://doi.org/10.1002/prop.200900080

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