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In this note, we use techniques from integrable systems to study relations between gauge theories. The Gauge/Bethe correspondence, introduced by Nekrasov and Shatashvili, identifies the supersymmetric ground states of an $$ \mathcal{N} = \left( {2,2} \right) $$ supersymmetric gauge theory in two dimensions with the Bethe states of a quantum integrable system. We make use of this correspondence...
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