Rational Differential Systems, Loop Equations, and Application to the qth Reductions of KP

To any solution of a linear system of differential equations, we associate a matrix kernel, correlators satisfying a set of loop equations, and in the presence of isomonodromic parameters, a Tau function. We then study their semiclassical expansion (WKB type expansion in powers of the weight ħ per...

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Bibliographic Details
Main Authors: Bergére, Michel, Borot, Gaetan, Eynard, Bertrand
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Basel 2020
Online Access:https://hdl.handle.net/1721.1/125209