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arXiv · 1708.00445

Expanding the Bethe/Gauge Dictionary

Mathew Bullimore·Hee-Cheol Kim·Tomasz Lukowski
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Abstract

We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d 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 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. 2017-08-01. Expanding the Bethe/Gauge Dictionary. https://doi.org/10.1007/jhep11(2017)055

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