Open-chain transfer matrices for AdS/CFT
Rajan Murgan, Rafael I. Nepomechie
TL;DR
This paper extends the construction of open-chain transfer matrices to the SU(2|2) and SU(1|1) S-matrices relevant for AdS/CFT, simplifying their form and introducing a boundary parameter.
Contribution
It introduces a graded approach to transfer matrices for AdS/CFT integrable models and finds a new SU(1|1) boundary S-matrix with a free parameter.
Findings
Constructed commuting transfer matrices for SU(2|2) bulk and boundary S-matrices.
Derived a simplified form of the transfer matrix using graded S-matrices.
Identified an SU(1|1) boundary S-matrix with a free boundary parameter.
Abstract
We extend Sklyanin's construction of commuting open-chain transfer matrices to the SU(2|2) bulk and boundary S-matrices of AdS/CFT. Using the graded version of the S-matrices leads to a transfer matrix of particularly simple form. We also find an SU(1|1) boundary S-matrix which has one free boundary parameter.
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