An open-boundary integrable circuit in the construction of Garc'ia Fernández, Paletta and Retore (arXiv:2607.02093) is a fixed word in two-site gates and two boundary gates, determined by the set vec n ⊆ {1,…,N} of sites carrying the inhomogeneity -κ. They…
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Guo, Yang and Zagier (arXiv:2603.15233) normalise Witten's psi-class intersection numbers as C(d)=2²ᵍ∏ⱼ(2dⱼ+1)!! / (3²ᵍ⁻²⁺ⁿ(2g-3+n)!)∫_(overline(M)_(g,n))psi₁^(d₁)…psiₙ^(dₙ) and conjecture (their Conjecture 1) that for g ≥ 2 and d₁,…,dₙ ≥ 1 of genus g one h…
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For λ>-1/2 rational and ζ a nonzero zero of the Bessel function J_(λ-1), the monic orthogonal polynomials for the weight (1-x²)^(λ-1/2)e^(iζ x) on [-1,1] satisfy xPₙ=Pₙ₊₁+iαₙPₙ+βₙPₙ₋₁. Lyu and Zhou (arXiv:2607.19797) derive a first-order coupled system of d…
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For a partition λ and a parameter β, Masoero and Ruzza (arXiv:2605.24563v2) attach to the Laguerre Wronskian Φ^((β))_(λ,λ') a monic polynomial P^((β))_λ of degree |λ| — the BLZ polynomial whose zeros zᵢ^((β))(λ) are the poles of the monster potentials of Ba…
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