The open XXZ chain at Δ=-1/2 and totally-symmetric alternating sign matrices

2025/09/11 by Liénardy, Jean, Hagendorf, Christian Walmsley
#FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2509.09209

Abstract

The open XXZ spin chain with the anisotropy parameter Δ=-\frac12, diagonal boundary fields that depend on a parameter x, and finite length N is studied. In a natural normalisation, the components of its ground-state vector are polynomials in x with integer coefficients. It is shown that their sum is given by a generating function for the weighted enumeration of totally-symmetric alternating sign matrices with weights depending on x.

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