Abstract
We consider the quantum KnizhnikZamolodchikovBernard equation for a face model with elliptic weights, the SOS model. We provide explicit solutions as theta functions. On the socalled combinatorial line, in which the model is equivalent to the threecolour model, these solutions are shown to be eigenvectors of the transfer matrix with periodic boundary conditions.
Original language  English 

Article number  064001 
Number of pages  26 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  49 
Issue number  6 
DOIs  
Publication status  Published  12 Feb 2016 
Keywords
 quantum KnizhnikZamolodchikov equation
 SOS model
 threecolour model
 FREEFIELD CONSTRUCTION
 ZUMINOWITTEN MODELS
 8VERTEX MODEL
 POLYNOMIAL SOLUTIONS
 BETHEANSATZ
 SPIN CHAINS
 SOS MODEL
 XXZ CHAIN
 LATTICE
 COMBINATORICS
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Robert Andrew Weston
 School of Mathematical & Computer Sciences, Mathematics  Professor
 School of Mathematical & Computer Sciences  Professor
Person: Academic (Research & Teaching)