Slavnov determinants, Yang-Mills structure constants, and discrete KP
arXiv:1203.5621
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.
34 pages. Minor formatting and verbal changes. To appear in "Symmetries, Integrable Systems and Representations", K Iohara, S Morier-Genoud and B Rémy, Editors, Springer Proceedings in Mathematics and Statistics, Springer, 2012
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- Comments on World-Sheet Form Factors in AdS/CFT
- Colour-independent partition functions in coloured vertex models
- On Three-point Functions in the AdS_4/CFT_3 Correspondence
- The SO(6) Scalar Product and Three-Point Functions from Integrability