English

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

High Energy Physics - Theory 2009-09-24 v3

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.

Cite

@article{arxiv.0906.4361,
  title  = {A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices},
  author = {Rajan Murgan},
  journal= {arXiv preprint arXiv:0906.4361},
  year   = {2009}
}

Comments

15 pages, typos corrected; minor revisions

R2 v1 2026-06-21T13:17:07.951Z