Labeling Schemes for Tetrahedron Equations and Dualities between Them
arXiv:hep-th/9402139 · doi:10.1088/0305-4470/27/17/010
Abstract
Zamolodchikov's tetrahedron equations, which were derived by considering the scattering of straight strings, can be written in three different labeling schemes: one can use as labels the states of the vacua between the strings, the states of the string segments, or the states of the particles at the intersections of the strings. We give a detailed derivation of the three corresponding tetrahedron equations and show also how the Frenkel-Moore equations fits in as a {\em nonlocal} string labeling. We discuss then how an analog of the Wu-Kadanoff duality can be defined between each pair of the above three labeling schemes. It turns out that there are two cases, for which one can simultaneously construct a duality between {\em all} three pairs of labelings.
24 pages with 11 figures, all in a compressed uuencoded postscript file, see instructions at the beginning of the file. If you cannot print the file, ask for a paper copy. Preprint number added: LPTHE PAR 94/07
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Cited by in corpus (27)
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