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
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Ratcliffe, James
5eb7bb09-a75d-4523-896d-44f6e1b36e6e
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
5 February 2026
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Ratcliffe, James
5eb7bb09-a75d-4523-896d-44f6e1b36e6e
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
[Unknown type: UNSPECIFIED]
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
Text
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
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Date deposited: 18 Mar 2026 17:30
Last modified: 19 Mar 2026 03:07
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Author:
James Ratcliffe
Author:
Itamar Yaakov
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