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

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

2009-06-23

arxiv.org/abs/0906.4361v3

Fortschr.Phys.57:895-904,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, typos corrected; minor revisions

Scientific paper

10.1002/prop.200900080

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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