The University of Southampton
University of Southampton Institutional Repository

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.

Full text not available from this repository.

More information

Published date: 1997
Organisations: Southampton Wireless Group

Identifiers

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

Catalogue record

Date deposited: 29 May 2007
Last modified: 25 Jul 2018 16:31

Export record

Contributors

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×