Diagrammatic evaluation of conformal weights in the U_q[SU(2)] symmetric Heisenberg chain

Details Diagrammatic evaluation of conformal weights in the U_q[SU(2)] symmetric Heisenberg chain Diagrammatic evaluation of conformal weights in the U_q[SU(2)] symmetric Heisenberg chain

1995-06-20

arxiv.org/abs/cond-mat/9506090v1

Physics

Condensed Matter

11 pages

Scientific paper

We consider the $U_q[SU(2)]$ symmetric Heisenberg chain when $q=e^{i\pi/(m+1)}$ and $m$ is integer. We consider the cases $m=3$ and $m=5$ which correspond to the Ising and 3-state Potts models. We study the finite size scaling (FSS) of the ground states in different quantum spin sectors and restricting to highest weights of type-II representations. We compute the levels by a diagrammatic technique which needs only the commutation relations of the underlying Temperley-Lieb algebra. The results match the FSS predictions which hold for the Bethe levels. (2 PostScript figures (or the corresponding tables) available from the author)

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