Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories
Abstract We determine new genus 2 Seiberg-Witten curves for four dimensional rank 2 absolute N $$ \mathcal{N} $$ =4 superYang-Mills theories using the automorphism twist approach. The conformal manifolds of these curves agree with those predicted by S-duality orbits of global structures, and we use...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)145 |
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| author | Philip C. Argyres Mario Martone Zekai Yu |
| author_facet | Philip C. Argyres Mario Martone Zekai Yu |
| author_sort | Philip C. Argyres |
| collection | DOAJ |
| description | Abstract We determine new genus 2 Seiberg-Witten curves for four dimensional rank 2 absolute N $$ \mathcal{N} $$ =4 superYang-Mills theories using the automorphism twist approach. The conformal manifolds of these curves agree with those predicted by S-duality orbits of global structures, and we use this to identify which of the two S-duality orbits of the so 5 ≃ sp 4 $$ \mathfrak{so}(5)\simeq \mathfrak{sp}(4) $$ superYang-Mills theory the genus-2 curve corresponds to. We also compare the curves to earlier constructions of Seiberg-Witten curves for these theories as spectral curves of integrable systems. These spectral curves have genus greater than the rank, and so only give a Coulomb branch geometry upon projection to a sublattice of the homology lattice of the curves. We show how to determine the correct sublattice projection, and find that the integrable system curves do not apply to our theories. |
| format | Article |
| id | doaj-art-dc18ad24c6ea44e29e66e89c21c6bed3 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-dc18ad24c6ea44e29e66e89c21c6bed32025-01-05T12:07:00ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213710.1007/JHEP12(2024)145Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theoriesPhilip C. Argyres0Mario Martone1Zekai Yu2Department of Physics, University of CincinnatiDepartment of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract We determine new genus 2 Seiberg-Witten curves for four dimensional rank 2 absolute N $$ \mathcal{N} $$ =4 superYang-Mills theories using the automorphism twist approach. The conformal manifolds of these curves agree with those predicted by S-duality orbits of global structures, and we use this to identify which of the two S-duality orbits of the so 5 ≃ sp 4 $$ \mathfrak{so}(5)\simeq \mathfrak{sp}(4) $$ superYang-Mills theory the genus-2 curve corresponds to. We also compare the curves to earlier constructions of Seiberg-Witten curves for these theories as spectral curves of integrable systems. These spectral curves have genus greater than the rank, and so only give a Coulomb branch geometry upon projection to a sublattice of the homology lattice of the curves. We show how to determine the correct sublattice projection, and find that the integrable system curves do not apply to our theories.https://doi.org/10.1007/JHEP12(2024)145Extended SupersymmetryScale and Conformal SymmetriesGlobal Symmetries |
| spellingShingle | Philip C. Argyres Mario Martone Zekai Yu Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories Journal of High Energy Physics Extended Supersymmetry Scale and Conformal Symmetries Global Symmetries |
| title | Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories |
| title_full | Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories |
| title_fullStr | Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories |
| title_full_unstemmed | Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories |
| title_short | Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories |
| title_sort | genus 2 seiberg witten curves for rank 2 n mathcal n 4 superyang mills theories |
| topic | Extended Supersymmetry Scale and Conformal Symmetries Global Symmetries |
| url | https://doi.org/10.1007/JHEP12(2024)145 |
| work_keys_str_mv | AT philipcargyres genus2seibergwittencurvesforrank2nmathcaln4superyangmillstheories AT mariomartone genus2seibergwittencurvesforrank2nmathcaln4superyangmillstheories AT zekaiyu genus2seibergwittencurvesforrank2nmathcaln4superyangmillstheories |