We show that the nonperturbative dynamics of N=2 super-Yang-Mills theories in a self-dual ω background and with arbitrary simple gauge group is fully determined by studying renormalization group equations of vacuum expectation values of surface operators generating one-form symmetries. The corresponding system of equations is a nonautonomous Toda chain, the time being the renormalization group 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 renormalization group equations. We exemplify by computing the E6 and G2 cases up to two instantons.

Counting Yang-Mills Instantons by Surface Operator Renormalization Group Flow / Bonelli, G.; Globlek, F.; Tanzini, A.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 126:23(2021), pp. 1-6. [10.1103/PhysRevLett.126.231602]

Counting Yang-Mills Instantons by Surface Operator Renormalization Group Flow

Bonelli G.
;
Globlek F.;Tanzini A.
2021-01-01

Abstract

We show that the nonperturbative dynamics of N=2 super-Yang-Mills theories in a self-dual ω background and with arbitrary simple gauge group is fully determined by studying renormalization group equations of vacuum expectation values of surface operators generating one-form symmetries. The corresponding system of equations is a nonautonomous Toda chain, the time being the renormalization group 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 renormalization group equations. We exemplify by computing the E6 and G2 cases up to two instantons.
2021
126
23
1
6
231602
10.1103/PhysRevLett.126.231602
https://repo.scoap3.org/records/62798
Bonelli, G.; Globlek, F.; Tanzini, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/126211
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