Slavnov determinants, yang-mills structure constants, and discrete KP

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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 conformallyinvariant 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 τ -functions. © Springer-Verlag London 2013.

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Foda, O., & Wheeler, M. (2013). Slavnov determinants, yang-mills structure constants, and discrete KP. In Springer Proceedings in Mathematics and Statistics (Vol. 40, pp. 85–132). Springer New York LLC. https://doi.org/10.1007/978-1-4471-4863-0_5

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