# Expanding the Bethe/Gauge dictionary

Journal of High Energy Physics, Nov 2017

We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d $$\mathcal{N}$$ = (2, 2) supersymmetric gauge theories to include aspects of the algebraic Bethe ansatz. We construct the wave functions of off-shell Bethe states as orbifold defects in the A-twisted supersymmetric gauge theory and study their correlation functions. We also present an alternative description of off-shell Bethe states as boundary conditions in an effective $$\mathcal{N}$$ = 4 supersymmetric quantum mechanics. Finally, we interpret spin chain R-matrices as correlation functions of Janus interfaces for mass parameters in the supersymmetric quantum mechanics.

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Mathew Bullimore, Hee-Cheol Kim, Tomasz Lukowski. Expanding the Bethe/Gauge dictionary, Journal of High Energy Physics, 2017, 55, DOI: 10.1007/JHEP11(2017)055