Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist
Abstract We study N $$ \mathcal{N} $$ = 1 SU(N) super Yang-Mills (SYM) theory on ℝ 2 × (S 1)3 × (S 1)4 with the ’t Hooft twist. The theory becomes weakly coupled if the length L 4 of (S 1)4 is sufficiently small, NL 4Λ ≪ 1. We explore the nonperturbative dynamics at the weak-coupling regime by chang...
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2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)194 |
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| author | Yui Hayashi Tatsuhiro Misumi Yuya Tanizaki |
| author_facet | Yui Hayashi Tatsuhiro Misumi Yuya Tanizaki |
| author_sort | Yui Hayashi |
| collection | DOAJ |
| description | Abstract We study N $$ \mathcal{N} $$ = 1 SU(N) super Yang-Mills (SYM) theory on ℝ 2 × (S 1)3 × (S 1)4 with the ’t Hooft twist. The theory becomes weakly coupled if the length L 4 of (S 1)4 is sufficiently small, NL 4Λ ≪ 1. We explore the nonperturbative dynamics at the weak-coupling regime by changing the size of L 3 and uncover how 3d monopole/bion-based effective theory for L 3 ≫ L 4 is related to the 2d vortex-based theory for L 3 ≈ L 4. The highlights of our results are (1) the smooth “weak-weak” continuity of the vacuum structure and gluino condensate during the 3d-2d dimensional reduction, (2) the switching of Wilson loop behavior from the area law in 3d to the perimeter law in 2d via a “double-string” picture, (3) the role of mass deformation in breaking discrete chiral symmetry and restoring the area law in 2d, and (4) the microscopic investigation of bions during the reduction from 3d to 2d and the cancellation of the vacuum energy due to the hidden topological angle. We also discuss the generalization of our results for (1)–(3) from N $$ \mathcal{N} $$ = 1 SYM to QCD with adjoint quarks. |
| format | Article |
| id | doaj-art-6ea469ca20b64cdba44106e05445d54f |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-6ea469ca20b64cdba44106e05445d54f2025-08-20T02:05:46ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513810.1007/JHEP05(2025)194Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twistYui Hayashi0Tatsuhiro Misumi1Yuya Tanizaki2Yukawa Institute for Theoretical Physics, Kyoto UniversityDepartment of Physics, Kindai UniversityYukawa Institute for Theoretical Physics, Kyoto UniversityAbstract We study N $$ \mathcal{N} $$ = 1 SU(N) super Yang-Mills (SYM) theory on ℝ 2 × (S 1)3 × (S 1)4 with the ’t Hooft twist. The theory becomes weakly coupled if the length L 4 of (S 1)4 is sufficiently small, NL 4Λ ≪ 1. We explore the nonperturbative dynamics at the weak-coupling regime by changing the size of L 3 and uncover how 3d monopole/bion-based effective theory for L 3 ≫ L 4 is related to the 2d vortex-based theory for L 3 ≈ L 4. The highlights of our results are (1) the smooth “weak-weak” continuity of the vacuum structure and gluino condensate during the 3d-2d dimensional reduction, (2) the switching of Wilson loop behavior from the area law in 3d to the perimeter law in 2d via a “double-string” picture, (3) the role of mass deformation in breaking discrete chiral symmetry and restoring the area law in 2d, and (4) the microscopic investigation of bions during the reduction from 3d to 2d and the cancellation of the vacuum energy due to the hidden topological angle. We also discuss the generalization of our results for (1)–(3) from N $$ \mathcal{N} $$ = 1 SYM to QCD with adjoint quarks.https://doi.org/10.1007/JHEP05(2025)194Anomalies in Field and String TheoriesConfinementSolitons Monopoles and Instantons |
| spellingShingle | Yui Hayashi Tatsuhiro Misumi Yuya Tanizaki Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist Journal of High Energy Physics Anomalies in Field and String Theories Confinement Solitons Monopoles and Instantons |
| title | Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist |
| title_full | Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist |
| title_fullStr | Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist |
| title_full_unstemmed | Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist |
| title_short | Monopole-vortex continuity of N $$ \mathcal{N} $$ = 1 super Yang-Mills theory on ℝ 2 × S 1 × S 1 with ’t Hooft twist |
| title_sort | monopole vortex continuity of n mathcal n 1 super yang mills theory on r 2 s 1 s 1 with t hooft twist |
| topic | Anomalies in Field and String Theories Confinement Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP05(2025)194 |
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