Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries
Abstract We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the N f = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction pr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2019)038 |
| _version_ | 1818468474855358464 |
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| author | Jun Ho Son Jing-Yuan Chen S. Raghu |
| author_facet | Jun Ho Son Jing-Yuan Chen S. Raghu |
| author_sort | Jun Ho Son |
| collection | DOAJ |
| description | Abstract We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the N f = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction provides explicit operator mappings, and allows the manifestation of some hidden symmetries. It also exposes certain caveats and implicit assumptions beneath the usual application of the modular transformations to generate the web of dualities. Finally, we make brief comments on the non-relativistic limit of the dualities. |
| first_indexed | 2024-04-13T21:12:41Z |
| format | Article |
| id | doaj.art-cfa80fe145c84e48b00848a850d57fda |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T21:12:41Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cfa80fe145c84e48b00848a850d57fda2022-12-22T02:29:47ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019613810.1007/JHEP06(2019)038Duality web on a 3D Euclidean lattice and manifestation of hidden symmetriesJun Ho Son0Jing-Yuan Chen1S. Raghu2Stanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityAbstract We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the N f = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction provides explicit operator mappings, and allows the manifestation of some hidden symmetries. It also exposes certain caveats and implicit assumptions beneath the usual application of the modular transformations to generate the web of dualities. Finally, we make brief comments on the non-relativistic limit of the dualities.http://link.springer.com/article/10.1007/JHEP06(2019)038Duality in Gauge Field TheoriesLattice Quantum Field TheoryNonperturbative Effects |
| spellingShingle | Jun Ho Son Jing-Yuan Chen S. Raghu Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries Journal of High Energy Physics Duality in Gauge Field Theories Lattice Quantum Field Theory Nonperturbative Effects |
| title | Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries |
| title_full | Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries |
| title_fullStr | Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries |
| title_full_unstemmed | Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries |
| title_short | Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries |
| title_sort | duality web on a 3d euclidean lattice and manifestation of hidden symmetries |
| topic | Duality in Gauge Field Theories Lattice Quantum Field Theory Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP06(2019)038 |
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