1996/01/12 by S. Dasmahapatra, SRINANDAN DASMAHAPATRA, O. Foda +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Quantum many-body systems #hep-th #math.QA #q-alg
paper · pdf · doi:10.1142/s0217751x98000214
published as Int.J.Mod.Phys. A13 (1998) 501 · Latex, 18 pages, uses epic, and eepic macros
arxiv created 1996/01/12 · openalex publication_date 1998/01/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 co-charges of the tableaux are such that there is a weight-preserving bijection between the two sets of eigenvectors, in which the tableaux play an interpolating role. This bijection is so natural, that we conjecture that it exists in general.