A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra
| dc.creator | Candu, Constantin | |
| dc.creator | Saleur, Hubert | |
| dc.date | 2008-01-02 | |
| dc.date.accessioned | 2026-07-07T12:14:02Z | |
| dc.date.available | 2026-07-07T12:14:02Z | |
| dc.description | We define and study a lattice model which we argue is in the universality class of the $OSp(2S+2|2S)$ supercoset sigma model for a large range of values of the coupling constant $g_σ^2$. In this first paper, we analyze in details the symmetries of this lattice model, in particular the decomposition of the space of the quantum spin chain $V^{\otimes L}$ as a bimodule over $OSp(2S+2|2S)$ and its commutant, the Brauer algebra $B_L(2)$. It turns out that $V^{\otimes L}$ is a nonsemisimple module for both $OSp(2S+2|2S)$ and $B_L(2)$. The results are used in the companion paper to elucidate the structure of the (boundary) conformal field theory. | |
| dc.description | 36 pages, 20 figures | |
| dc.identifier | https://arxiv.org/abs/0801.0430 | |
| dc.identifier | http://arxiv.org/abs/0801.0430 | |
| dc.identifier | Nucl.Phys.B808:441-486,2009 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.09.034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211058 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Statistical Mechanics | |
| dc.title | A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra | |
| dc.type | text |