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The Bethe Equation at q=0, The Mobius Inversion Formula, and Weight Multiplicities: III. The X^{(r)}_N case
KUNIBA, ATSUO
23417
NAKANISHI, TOMOKI
23418
TSUBOI, ZENGO
23419
It is shown that the numbers of off-diagonal solutions to the Uq(X(r)N ) Bethe equation at q = 0 coincide with the coefficients in the recently introduced canonical power series solution of the Q-system. Conjecturally the canonical solutions are characters of the KR (Kirillov-Reshetikhin) modules. This implies that the numbers of off-diagonal solutions agree with the weight multiplicities, which is interpreted as a formal completeness of the Uq(X(r)N ) Bethe ansatz at q = 0.
journal article
Springer Verlag
2002
application/pdf
Letters in Mathematical Physics
59
155
190
http://hdl.handle.net/2237/10054
0377-9017
https://nagoya.repo.nii.ac.jp/record/8314/files/3.pdf
eng