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On the combinatorics of row and corner transfer matrices of the An-1(1) restricted face models

On the combinatorics of row and corner transfer matrices of the An-1(1) restricted face models
On the combinatorics of row and corner transfer matrices of the An-1(1) restricted face models
We establish a weight-preserving bijection between the index sets of the spectral data of row-to-row and corner transfer matrices for Uq widehat{sl(n)} 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 analogues of branching functions for the cosets
(A(1)n-1) ℓ-1 ⊗ (A(1)n-1)over (A(1)n-1),   and establish a bosonic-fermionic polynomial identity.
0217-751X
3551-3586
Dasmahapatra, Srinandan
eb5fd76f-4335-4ae9-a88a-20b9e2b3f698
Dasmahapatra, Srinandan
eb5fd76f-4335-4ae9-a88a-20b9e2b3f698

Dasmahapatra, Srinandan (1997) On the combinatorics of row and corner transfer matrices of the An-1(1) restricted face models. International Journal of Modern Physics A, 12, 3551-3586.

Record type: Article

Abstract

We establish a weight-preserving bijection between the index sets of the spectral data of row-to-row and corner transfer matrices for Uq widehat{sl(n)} 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 analogues of branching functions for the cosets
(A(1)n-1) ℓ-1 ⊗ (A(1)n-1)over (A(1)n-1),   and establish a bosonic-fermionic polynomial identity.

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Published date: 1997
Organisations: Southampton Wireless Group

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Local EPrints ID: 264096
URI: http://eprints.soton.ac.uk/id/eprint/264096
ISSN: 0217-751X
PURE UUID: 730e7b05-7706-476f-9e39-0d3de021729a

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Date deposited: 29 May 2007
Last modified: 08 Jan 2022 00:00

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Author: Srinandan Dasmahapatra

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