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arXiv · 2102.01627

Instantons to the people: the power of one-form symmetries

Giulio Bonelli·Fran Globlek·Alessandro Tanzini
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Abstract

We show that the non-perturbative dynamics of $\mathcal{N}=2$ super Yang-Mills theories in a self-dual $Ω$-background and with an arbitrary simple gauge group is fully determined by studying renormalization group equations of vevs of surface operators generating one-form symmetries. The corresponding system of equations is a {\it non-autonomous} Toda chain, the time being the RG scale. We obtain new recurrence relations which provide a systematic algorithm computing multi-instanton corrections from the tree-level one-loop prepotential as the asymptotic boundary condition of the RGE. We exemplify by computing the $E_6$ and $G_2$ cases up to two-instantons.

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Giulio Bonelli, Fran Globlek, Alessandro Tanzini. 2021-02-02. Instantons to the people: the power of one-form symmetries. https://doi.org/10.1103/physrevlett.126.231602

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