A super-current with independently assigned bosonic and fermionic monodromies generates super-Miwa differential constraints in all four sectors, linked by an explicit prefactor whose Grassmann kernel is the difference of the two fermion two-point functions.
Supermatrix Models
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abstract
Random matrix models based on an integral over supermatrices are proposed as a natural extension of bosonic matrix models. The subtle nature of superspace integration allows these models to have very different properties from the analogous bosonic models. Two choices of integration slice are investigated. One leads to a perturbative structure which is reminiscent of, and perhaps identical to, the usual Hermitian matrix models. Another leads to an eigenvalue reduction which can be described by a two component plasma in one dimension. A stationary point of the model is described.
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Quantum Airy Structures and Matrix Models: a supercurrent approach
A super-current with independently assigned bosonic and fermionic monodromies generates super-Miwa differential constraints in all four sectors, linked by an explicit prefactor whose Grassmann kernel is the difference of the two fermion two-point functions.