Classical r-matrix of the su(2|2) SYM spin-chain
| dc.creator | Torrielli, Alessandro | |
| dc.date | 2007-01-30 | |
| dc.date | 2007-04-25 | |
| dc.date.accessioned | 2026-07-07T10:22:25Z | |
| dc.date.available | 2026-07-07T10:22:25Z | |
| dc.description | 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 π/ \sqrtλ, 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. | |
| dc.description | 14 pages, LaTeX, no figures; corrections made, further analysis of the residue and references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701281 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701281 | |
| dc.identifier | Phys.Rev.D75:105020,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.75.105020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/175507 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Classical r-matrix of the su(2|2) SYM spin-chain | |
| dc.type | text |