Abstract
In this paper, we use the affine Yangian of gl(1) to describe the (β-deformed) Hurwitz–Kontsevich model. We find that the W-operators of the (β-deformed) Hurwitz–Kontsevich model can be represented by the generators ek, fk of the affine Yangian of gl(1), and their actions on Schur functions or Jack polynomials can be obtained from the 3D Young diagram representation of the affine Yangian of gl(1).
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