IBS-CGP Post-doc lecture seriesㅣBethe/Gauge orrespondence III - From instanton partition function to Schrodinger equation

The Bethe/Gauge correspondence can be further extended to the quantum level thanks to the localization computation in the supersymmetric gauge theory subjected to the Omega-background. By placing the Yang-Mills theory on non-commutative geometry, the partition function and many BPs-observables can be computed exactly. In this talk I will demonstrate how the Yang-Mills theory are formulated on the non-commutative R4R4. Finally establish the Bethe/Gauge correspondence in the quantum level by identifying the super Yang-Mills partition function as the wave function of the corresponding Toda lattice integrable model.