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.
Double Scaling Limit of the Supervirasoro Constraints
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abstract
This paper supersedes the preprint Superloop Equations in the Double Scaling Limit, CERN-TH-6575. It is an improved version with corrections in the derivation of the continuum limit, a clarification of the doubling of degrees of freedom for even potentials, and with a heuristic argument showing that the part of the free energy independent of fermion couplings in our model satisfies the KdV Hierarchy.
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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.