On the Combinatorics of Row and Corner Transfer Matrices of the $A^{(1)}_{n-1}$ Restricted Face Models
1997 ◽
Vol 12
(20)
◽
pp. 3551-3586
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Keyword(s):
We establish a weight-preserving bijection between the index sets of the spectral data of row-to-row and corner transfer matrices for [Formula: see text] restricted interaction round a face (IRF) models. The evaluation of momenta by adding Takahashi integers in the spin chain language is shown to directly correspond to the computation of the energy of a path on the weight lattice in the two-dimensional model. As a consequence we derive fermionic forms of polynomial analogs of branching functions for the cosets [Formula: see text], and establish a bosonic–fermionic polynomial identity.
2002 ◽
Vol 61
(1)
◽
pp. 34-44
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2020 ◽
Vol 34
(4)
◽
pp. 05020003
2001 ◽
Vol 55
(8)
◽
pp. 14
Keyword(s):
1969 ◽
Vol 18
(189)
◽
pp. 489-493