The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory
Abstract We propose a double-scaling limit of β-deformed ABJM theory in three-dimensional N $$ \mathcal{N} $$ = 2 superspace, and a non-local deformation thereof. Due to the regular appearance of the theory’s Feynman supergraphs, we refer to this superconformal and integrable theory as the superfish...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)100 |
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| author | Moritz Kade |
| author_facet | Moritz Kade |
| author_sort | Moritz Kade |
| collection | DOAJ |
| description | Abstract We propose a double-scaling limit of β-deformed ABJM theory in three-dimensional N $$ \mathcal{N} $$ = 2 superspace, and a non-local deformation thereof. Due to the regular appearance of the theory’s Feynman supergraphs, we refer to this superconformal and integrable theory as the superfishnet theory. We use techniques inspired by the integrability of bi-scalar fishnet theory and adapted to superspace to calculate the zero-mode-fixed thermodynamic free energy, the corresponding critical coupling, and the exact all-loop scaling dimensions of various operators. Furthermore, we confirm the results of the supersymmetric dynamical fishnet theory by applying our methods to four-dimensional N $$ \mathcal{N} $$ = 1 superspace. |
| format | Article |
| id | doaj-art-8a598b7fb216474bbdcf16e970ac5bea |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8a598b7fb216474bbdcf16e970ac5bea2025-02-09T12:07:16ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113210.1007/JHEP01(2025)100The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theoryMoritz Kade0Institut für Mathematik und Institut für Physik, Humboldt-Universität zu BerlinAbstract We propose a double-scaling limit of β-deformed ABJM theory in three-dimensional N $$ \mathcal{N} $$ = 2 superspace, and a non-local deformation thereof. Due to the regular appearance of the theory’s Feynman supergraphs, we refer to this superconformal and integrable theory as the superfishnet theory. We use techniques inspired by the integrability of bi-scalar fishnet theory and adapted to superspace to calculate the zero-mode-fixed thermodynamic free energy, the corresponding critical coupling, and the exact all-loop scaling dimensions of various operators. Furthermore, we confirm the results of the supersymmetric dynamical fishnet theory by applying our methods to four-dimensional N $$ \mathcal{N} $$ = 1 superspace.https://doi.org/10.1007/JHEP01(2025)100Integrable Field TheoriesSuperspacesLattice Integrable ModelsChern-Simons Theories |
| spellingShingle | Moritz Kade The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory Journal of High Energy Physics Integrable Field Theories Superspaces Lattice Integrable Models Chern-Simons Theories |
| title | The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory |
| title_full | The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory |
| title_fullStr | The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory |
| title_full_unstemmed | The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory |
| title_short | The three-dimensional N $$ \mathcal{N} $$ = 2 superfishnet theory |
| title_sort | three dimensional n mathcal n 2 superfishnet theory |
| topic | Integrable Field Theories Superspaces Lattice Integrable Models Chern-Simons Theories |
| url | https://doi.org/10.1007/JHEP01(2025)100 |
| work_keys_str_mv | AT moritzkade thethreedimensionalnmathcaln2superfishnettheory AT moritzkade threedimensionalnmathcaln2superfishnettheory |