By the same authors

From the same journal

From the same journal

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

Research output: Contribution to journalArticle

Author(s)

Department/unit(s)

Publication details

JournalJournal of Mathematical Physics
DatePublished - 1 Aug 2012
Issue number8
Volume53
Pages (from-to)1-26
Original languageEnglish

Abstract

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 Rmatrix, 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.

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations