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

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

2012-03-26

arxiv.org/abs/1203.5621v2

Physics

High Energy Physics

High Energy Physics - Theory

38 pages. Reduced review of known results that overlapped with one in arXiv:1111.4663. Figures remain in LaTeX, which is text,

Scientific paper

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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