Projects per year
Abstract
A generalization of the Bethe ansatz equations is studied, where a scalar twoparticle Smatrix has several zeroes and poles in the complex plane, as opposed to the ordinary single pole/zero case. For the repulsive case (no complex roots), the main result is the enumeration of all distinct solutions to the Bethe equations in terms of the FussCatalan numbers. Two new combinatorial interpretations of the FussCatalan and related numbers are obtained. On the one hand, they count regular orbits of the permutation group in certain factor modules over Z^M, and on the other hand, they count integer points in certain Mdimensional polytopes.
Original language  English 

Pages (fromto)  10471077 
Number of pages  31 
Journal  Letters in Mathematical Physics 
Volume  103 
Issue number  10 
DOIs  
Publication status  Published  1 Oct 2013 
Projects
 1 Finished

Nonultralocality and new mathematical structures in quantum integrability
MacKay, N., Regelskis, V., Sklyanin, E., Torrielli, A., Vicedo, B. & Young, C.
1/10/09 → 31/03/13
Project: Research project (funded) › Research