On 2d perimeter law in =1 super Yang–Mills theory on ℝ2×S1×S1 with 't Hooft twist from Monopole-Vortex continuity.

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Title: On 2d perimeter law in =1 super Yang–Mills theory on ℝ2×S1×S1 with 't Hooft twist from Monopole-Vortex continuity.
Authors: Hayashi, Yui1 (AUTHOR) yui.hayashi@yukawa.kyoto-u.ac.jp, Misumi, Tatsuhiro2,3 (AUTHOR) misumi@phys.kindai.ac.jp, Tanizaki, Yuya1 (AUTHOR) yuya.tanizaki@yukawa.kyoto-u.ac.jp
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 3/10/2026, Vol. 41 Issue 7, p1-9. 9p.
Subjects: Yang-Mills theory, WKB approximation
Abstract: We study the = 1 super Yang–Mills (SYM) theory on ℝ 2 × S 1 × S 1 with 't Hooft twist. This setup allows us to interpolate between the monopole and center-vortex semiclassical frameworks, which have been proposed for understanding confinement. Based on this unified perspective, we revisit the semiclassical analysis of = 1 super Yang–Mills theory and elucidate aspects not fully understood previously. Among a few puzzles, we address the underlying mechanism for the switching of the Wilson loop behavior: area law in 3d and perimeter law in 2d. This proceedings paper is based on Ref. 1. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: We study the = 1 super Yang–Mills (SYM) theory on ℝ 2 × S 1 × S 1 with 't Hooft twist. This setup allows us to interpolate between the monopole and center-vortex semiclassical frameworks, which have been proposed for understanding confinement. Based on this unified perspective, we revisit the semiclassical analysis of = 1 super Yang–Mills theory and elucidate aspects not fully understood previously. Among a few puzzles, we address the underlying mechanism for the switching of the Wilson loop behavior: area law in 3d and perimeter law in 2d. This proceedings paper is based on Ref. 1. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: WKB approximation
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      – TitleFull: On 2d perimeter law in =1 super Yang–Mills theory on ℝ2×S1×S1 with 't Hooft twist from Monopole-Vortex continuity.
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              Text: 3/10/2026
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              Y: 2026
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