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

O Foda; M Wheeler

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arXiv · 1203.5621

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

O Foda·M Wheeler

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Abstract

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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O Foda, M Wheeler. 2012-08-19. Slavnov determinants, Yang-Mills structure constants, and discrete KP. https://arxiv.org/abs/1203.5621

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