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arXiv · 1011.6426

Fermionic partition functions for a periodic soliton cellular automaton

Atsuo Kuniba·Taichiro Takagi
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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 $\Delta=\infty$.

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Atsuo Kuniba, Taichiro Takagi. 2010-11-30. Fermionic partition functions for a periodic soliton cellular automaton. https://doi.org/10.1088/1751-8113/44/13/135204

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