Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-01-02
Nucl.Phys.B808:441-486,2009
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 20 figures
Scientific paper
10.1016/j.nuclphysb.2008.09.034
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 $g_\sigma^2$. 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.
Candu Constantin
Saleur Hubert
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