Integrability of the RG flows and the bulk/boundary correspondence

TL;DR

This paper explores how RG flows in N=2 SUSY YM theories are governed by integrable systems and discusses their relation to the bulk/boundary correspondence, highlighting the role of instantons and regulators.

Contribution

It proposes a novel connection between RG flows in supersymmetric gauge theories and integrable systems, emphasizing the influence of instantons and regulator interactions.

Findings

RG flows are governed by integrable systems in N=2 SUSY YM theories

Interaction of small instantons with regulators influences the dynamics

Relation between RG flows and bulk/boundary correspondence is discussed

Abstract

We suggest that RG flows in the N=2 SUSY YM theories are governed by the pair of the integrable systems. The main dynamical ingredient amounts from the interaction of the small size instantons with the regulator degrees of freedom. The relation with the bulk/boundary correspondence is discussed.