Super-spectral curve of irregular conformal blocks

Understand

We use super-spectral curve to investigate irregular conformal states of integer and half-odd integer rank.

• The spectral curve is the loop equation of supersymmetrized irregular matrix model.
• The case of integer rank corresponds to the colliding limit of supersymmetric vertex operators of NS sector and half-odd integer to the Ramond sectors.
• The spectral curve is simply integrable at Nekrasov-Shatashvili limit and the partition function (inner product of irregular conformal state) is obtained from the superconformal structure manifest in the spectral curve.