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The resurgence of errors in the localization of N = 2 superconformal Yang-Mills

The resurgence of errors in the localization of N = 2 superconformal Yang-Mills
The resurgence of errors in the localization of N = 2 superconformal Yang-Mills
Wegive a physical interpretation for the analytic continuation of the partitionfunction of superconformal SU(2) N = 2 gauge theory on the four-sphere to all values ofthe Yang-Mills coupling. We show that a well-motivated 2d construction associates twodimensional unstable instantons to the 4d complex saddles which appear as singularitiesin the integrand of the supersymmetric localization expression. The construction is basedon the chiral algebra subsector, and aligns with. the alternative Higgs branch localization
hep-th, math-ph
arXiv
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Ratcliffe, James
5eb7bb09-a75d-4523-896d-44f6e1b36e6e
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Ratcliffe, James
5eb7bb09-a75d-4523-896d-44f6e1b36e6e
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e

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Abstract

Wegive a physical interpretation for the analytic continuation of the partitionfunction of superconformal SU(2) N = 2 gauge theory on the four-sphere to all values ofthe Yang-Mills coupling. We show that a well-motivated 2d construction associates twodimensional unstable instantons to the 4d complex saddles which appear as singularitiesin the integrand of the supersymmetric localization expression. The construction is basedon the chiral algebra subsector, and aligns with. the alternative Higgs branch localization

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2602.05733v1 - Author's Original
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Published date: 5 February 2026
Additional Information: 25 pages, 2 figures, 1 table, 1 appendix
Keywords: hep-th, math-ph

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Local EPrints ID: 510124
URI: http://eprints.soton.ac.uk/id/eprint/510124
PURE UUID: 57e4bfd2-0615-4266-9df5-f805cf762c58
ORCID for Ines Aniceto: ORCID iD orcid.org/0000-0002-4468-0066
ORCID for Itamar Yaakov: ORCID iD orcid.org/0000-0002-4924-2970

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Date deposited: 18 Mar 2026 17:30
Last modified: 19 Mar 2026 03:07

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Contributors

Author: Ines Aniceto ORCID iD
Author: James Ratcliffe
Author: Itamar Yaakov ORCID iD

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