Abstract
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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Bullimore, M., Kim, HC. & Lukowski, T. Expanding the Bethe/Gauge dictionary. J. High Energ. Phys. 2017, 55 (2017). https://doi.org/10.1007/JHEP11(2017)055
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DOI: https://doi.org/10.1007/JHEP11(2017)055