Fermionic partition functions for a periodic soliton cellular automaton
Exactly Solvable and Integrable Systems
2011-03-07 v1 Combinatorics
Abstract
Fermionic formulas in combinatorial Bethe ansatz consist of sums of products of q-binomial coefficients. There exist refinements without a sum that are known to yield partition functions of box-ball systems with a prescribed soliton content. In this paper, such a refined fermionic formula is extended to the periodic box-ball system and a q-analogue of the Bethe root counting formula for XXZ chain at .
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Cite
@article{arxiv.1011.6426,
title = {Fermionic partition functions for a periodic soliton cellular automaton},
author = {Atsuo Kuniba and Taichiro Takagi},
journal= {arXiv preprint arXiv:1011.6426},
year = {2011}
}
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24 pages