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Slavnov determinants, Yang-Mills structure constants, and discrete KP

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arxiv 1203.5621 v3 pith:MYQTRTQK submitted 2012-03-26 hep-th math-phmath.MP

O Foda , M Wheeler This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords betheconstantsdeterminantsdiscreteslavnovstructureyang-millsallowed
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Using Slavnov's scalar product of a Bethe eigenstate and a generic state in closed XXZ spin-1/2 chains, with possibly twisted boundary conditions, we obtain determinant expressions for tree-level structure constants in 1-loop conformally-invariant sectors in various planar (super) Yang-Mills theories. When certain rapidity variables are allowed to be free rather than satisfy Bethe equations, these determinants become discrete KP tau-functions.

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  1. More on Slavnov Products of Spin Chains and KP Hierarchy Tau Functions

    hep-th 2025-05 reject novelty 5.0 of 10

    Slavnov products of Bethe states in rational spin chains are shown to be KP tau functions, with new Wronskian and Baker-Akhiezer formulas, but the key identification relies on an unverified assumption.

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