Projects per year
Abstract
A generalization of the Bethe ansatz equations is studied, where a scalar two-particle S-matrix 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 Fuss-Catalan numbers. Two new combinatorial interpretations of the Fuss-Catalan 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 M-dimensional polytopes.
Original language | English |
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Pages (from-to) | 1047-1077 |
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