Classical r-matrix of the su(2|2) SYM spin-chain

Research output: Contribution to journalArticle

Published copy (DOI)

Author(s)

Department/unit(s)

Publication details

JournalPhys.Rev.D
DatePublished - 30 Jan 2007
Volume75
Pages (from-to)105020
Original languageEnglish

Abstract

In this note we straightforwardly derive and make use of the quantum R-matrix for the su(2|2) SYM spin-chain in the manifest su(1|2)-invariant formulation, which solves the standard quantum Yang-Baxter equation, in order to obtain the correspondent (undressed) classical r-matrix from the first order expansion in the ``deformation'' parameter 2 \pi / \sqrt{\lambda}, and check that this last solves the standard classical Yang-Baxter equation. We analyze its bialgebra structure, its dependence on the spectral parameters and its pole structure. We notice that it still preserves an su(1|2) subalgebra, thereby admitting an expression in terms of a combination of projectors, which spans only a subspace of su(1|2) \otimes su(1|2). We study the residue at its simple pole at the origin, and comment on the applicability of the classical Belavin-Drinfeld type of analysis.

Bibliographical note

14 pages, LaTeX, no figures; corrections made, further analysis of
the residue and references added

    Research areas

  • hep-th

Discover related content

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

View graph of relations