Dynamical edge modes in p-form gauge theories
Abstract We extend our recently identified dynamical edge mode boundary condition to p-form gauge theories, revealing their edge modes as Goldstone bosons arising from gauge transformations with support on the boundary. The symplectic conjugates of these edge modes correspond to the electric-field-l...
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| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)182 |
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| author | Adam Ball Y. T. Albert Law |
| author_facet | Adam Ball Y. T. Albert Law |
| author_sort | Adam Ball |
| collection | DOAJ |
| description | Abstract We extend our recently identified dynamical edge mode boundary condition to p-form gauge theories, revealing their edge modes as Goldstone bosons arising from gauge transformations with support on the boundary. The symplectic conjugates of these edge modes correspond to the electric-field-like components normal to the boundary. We demonstrate that both the symplectic form and the Hamiltonian naturally decompose into bulk and edge parts. When the boundary is a stretched horizon, we show that the thermal edge partition function reduces to that of a codimension-two ghost (p – 1)-form residing on the bifurcation surface. These findings provide a dynamical framework that elucidates observations made by several authors. Additionally, we generalize Donnelly and Wall’s non-dynamical approach to obtain edge partition functions for both massive and massless p-forms. In the context of a de Sitter static patch, these results are consistent with the edge partition functions found by several authors in arbitrary dimensions. |
| format | Article |
| id | doaj-art-6242dc7d74574100a6f2560652b51e38 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-6242dc7d74574100a6f2560652b51e382025-08-20T02:16:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025214910.1007/JHEP02(2025)182Dynamical edge modes in p-form gauge theoriesAdam Ball0Y. T. Albert Law1Perimeter Institute for Theoretical PhysicsStanford Institute for Theoretical PhysicsAbstract We extend our recently identified dynamical edge mode boundary condition to p-form gauge theories, revealing their edge modes as Goldstone bosons arising from gauge transformations with support on the boundary. The symplectic conjugates of these edge modes correspond to the electric-field-like components normal to the boundary. We demonstrate that both the symplectic form and the Hamiltonian naturally decompose into bulk and edge parts. When the boundary is a stretched horizon, we show that the thermal edge partition function reduces to that of a codimension-two ghost (p – 1)-form residing on the bifurcation surface. These findings provide a dynamical framework that elucidates observations made by several authors. Additionally, we generalize Donnelly and Wall’s non-dynamical approach to obtain edge partition functions for both massive and massless p-forms. In the context of a de Sitter static patch, these results are consistent with the edge partition functions found by several authors in arbitrary dimensions.https://doi.org/10.1007/JHEP02(2025)182Duality in Gauge Field TheoriesGauge Symmetry |
| spellingShingle | Adam Ball Y. T. Albert Law Dynamical edge modes in p-form gauge theories Journal of High Energy Physics Duality in Gauge Field Theories Gauge Symmetry |
| title | Dynamical edge modes in p-form gauge theories |
| title_full | Dynamical edge modes in p-form gauge theories |
| title_fullStr | Dynamical edge modes in p-form gauge theories |
| title_full_unstemmed | Dynamical edge modes in p-form gauge theories |
| title_short | Dynamical edge modes in p-form gauge theories |
| title_sort | dynamical edge modes in p form gauge theories |
| topic | Duality in Gauge Field Theories Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP02(2025)182 |
| work_keys_str_mv | AT adamball dynamicaledgemodesinpformgaugetheories AT ytalbertlaw dynamicaledgemodesinpformgaugetheories |