Multi-parametric R-matrix for the sl(2|1) Yangian

Details Multi-parametric R-matrix for the sl(2|1) Yangian Multi-parametric R-matrix for the sl(2|1) Yangian

2012-02-24

arxiv.org/abs/1202.5405v2

Physics

Mathematical Physics

20 pages, LaTeX, no figures; v2: typos corrected, minor changes, added pole analysis of the dressed R-matrix

Scientific paper

We study the Yangian of the sl(2|1) Lie superalgebra in a multi-parametric four-dimensional representation. We use Drinfeld's second realization to derive the R-matrix, the antiparticle representation, the crossing and unitarity condition. We consistently apply the Yangian antipode and its inverse to the individual particles involved in the scattering. We explicitly find a scalar factor solving the crossing and unitarity conditions, and study the analytic structure of the resulting dressed R-matrix. The formulas we obtain bear some similarities with those familiar from the study of integrable structures in the AdS/CFT correspondence, although they present obvious crucial differences.

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