RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories
Abstract Lagrangian gauge theories with a z = 2 Lifshitz scaling provide a family of interacting, asymptotically free five-dimensional field theories. We examine a broad class of these theories, including some of their quantum properties, extending previous results to include matter. We present no-g...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)069 |
| _version_ | 1797795905355644928 |
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| author | Neil Lambert Joseph Smith |
| author_facet | Neil Lambert Joseph Smith |
| author_sort | Neil Lambert |
| collection | DOAJ |
| description | Abstract Lagrangian gauge theories with a z = 2 Lifshitz scaling provide a family of interacting, asymptotically free five-dimensional field theories. We examine a broad class of these theories, including some of their quantum properties, extending previous results to include matter. We present no-go theorems that, in the absence of constraints, the class of theories we consider cannot admit a spinorial supersymmetry or Galilean boost symmetry. However, we argue that there exist renormalization group flows whose fixed points can admit supersymmetry and boosts, i.e. super-Schrödinger symmetry. We also present examples of Lifshitz gauge theories with a scalar supersymmetry. |
| first_indexed | 2024-03-13T03:25:05Z |
| format | Article |
| id | doaj.art-4662b0ee2d294a2785d46976c603f7a2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:05Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4662b0ee2d294a2785d46976c603f7a22023-06-25T11:05:37ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023313110.1007/JHEP03(2023)069RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theoriesNeil Lambert0Joseph Smith1Department of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract Lagrangian gauge theories with a z = 2 Lifshitz scaling provide a family of interacting, asymptotically free five-dimensional field theories. We examine a broad class of these theories, including some of their quantum properties, extending previous results to include matter. We present no-go theorems that, in the absence of constraints, the class of theories we consider cannot admit a spinorial supersymmetry or Galilean boost symmetry. However, we argue that there exist renormalization group flows whose fixed points can admit supersymmetry and boosts, i.e. super-Schrödinger symmetry. We also present examples of Lifshitz gauge theories with a scalar supersymmetry.https://doi.org/10.1007/JHEP03(2023)069Brane Dynamics in Gauge TheoriesRenormalization GroupScale and Conformal Symmetries |
| spellingShingle | Neil Lambert Joseph Smith RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories Journal of High Energy Physics Brane Dynamics in Gauge Theories Renormalization Group Scale and Conformal Symmetries |
| title | RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories |
| title_full | RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories |
| title_fullStr | RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories |
| title_full_unstemmed | RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories |
| title_short | RG flows and symmetry enhancement in five-dimensional Lifshitz gauge theories |
| title_sort | rg flows and symmetry enhancement in five dimensional lifshitz gauge theories |
| topic | Brane Dynamics in Gauge Theories Renormalization Group Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP03(2023)069 |
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