Strings, paths, and standard tableaux

Details Strings, paths, and standard tableaux Strings, paths, and standard tableaux

1996-01-12

arxiv.org/abs/q-alg/9601011v1

Int.J.Mod.Phys. A13 (1998) 501

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 18 pages, uses epic, and eepic macros

Scientific paper

10.1142/S0217751X98000214

For the vacuum sectors of regime-III ABF models, we observe that two sets of combinatorial objects: the strings which parametrize the row-to-row transfer matrix eigenvectors, and the paths which parametrize the corner transfer matrix eigenvectors, can both be expressed in terms of the same set of standard tableaux. Furthermore, the momenta of the strings, the energies of the paths, and the charges of the tableaux are such that there is a weight-preserving bijection between the two sets of eigenvectors, wherein the tableaux play an interpolating role. This bijection is so natural, that we conjecture that it exists in general.

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