Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
| dc.creator | Mikhailov, Andrei | |
| dc.creator | Schafer-Nameki, Sakura | |
| dc.date | 2007-12-27 | |
| dc.date | 2008-04-23 | |
| dc.date.accessioned | 2026-07-07T11:39:42Z | |
| dc.date.available | 2026-07-07T11:39:42Z | |
| dc.description | Integrability of the string worldsheet theory in AdS(5) x S(5) is related to the existence of a flat connection depending on the spectral parameter. The transfer matrix is the open-ended Wilson line of this flat connection. We study the product of transfer matrices in the near-flat space expansion of the AdS(5) x S(5) string theory in the pure spinor formalism. The natural operations on Wilson lines with insertions are described in terms of r- and s-matrices satisfying a generalized classical Yang-Baxter equation. The formalism is especially transparent for infinite or closed Wilson lines with simple gauge invariant insertions. | |
| dc.description | LaTeX, 47 pp; v2: clarified the relation to the calculation of Poisson bracket (Section 2.2.2); added example in Section 7 | |
| dc.identifier | https://arxiv.org/abs/0712.4278 | |
| dc.identifier | http://arxiv.org/abs/0712.4278 | |
| dc.identifier | Nucl.Phys.B802:1-39,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.04.029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200017 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5) | |
| dc.type | text |