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

✍ Scribed by R. Murgan


Book ID
105357783
Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
193 KB
Volume
57
Category
Article
ISSN
0015-8208

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✦ Synopsis


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.