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arXiv · 2107.02210

Non-Abelian W-representation for GKM

A. Mironov·V. Mishnyakov·A. Morozov
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Abstract

$W$-representation is a miraculous possibility to define a non-perturbative (exact) partition function as an exponential action of somehow integrated Ward identities on unity. It is well known for numerous eigenvalue matrix models when the relevant operators are of a kind of $W$-operators: for the Hermitian matrix model with the Virasoro constraints, it is a $W_3$-like operator, and so on. We extend this statement to the monomial generalized Kontsevich models (GKM), where the new feature is the appearance of an ordered P-exponential for the set of non-commuting operators of different gradings.

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A. Mironov, V. Mishnyakov, A. Morozov. 2021-07-05. Non-Abelian W-representation for GKM. https://doi.org/10.1016/j.physletb.2021.136721

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