The symplectic potential for leaky boundaries
Abstract Charges associated with gauge symmetries are defined on boundaries of spacetimes. But these constructions typically involve divergent quantities when considering asymptotic boundaries. Different prescriptions exist to address this problem, based on ambiguities in the definition of the sympl...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)049 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832595075313434624 |
|---|---|
| author | Robert McNees Céline Zwikel |
| author_facet | Robert McNees Céline Zwikel |
| author_sort | Robert McNees |
| collection | DOAJ |
| description | Abstract Charges associated with gauge symmetries are defined on boundaries of spacetimes. But these constructions typically involve divergent quantities when considering asymptotic boundaries. Different prescriptions exist to address this problem, based on ambiguities in the definition of the symplectic potential. We propose a method well suited to leaky boundaries, which describe spacetimes than can exchange matter or radiation with their environment. The main advantage of this approach is that it relies only on the bulk Lagrangian and it is not tied to a specific choice of boundary conditions. The prescription is applied to four dimensional Einstein-Hilbert gravity in the partial Bondi gauge. This leads to a finite symplectic potential for unconstrained boundary data and reveals two new corner symplectic pairs associated with the relaxation of the gauge. |
| format | Article |
| id | doaj-art-cf58adeee3c6487db2aae7506fd73e39 |
| 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-cf58adeee3c6487db2aae7506fd73e392025-01-19T12:06:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113410.1007/JHEP01(2025)049The symplectic potential for leaky boundariesRobert McNees0Céline Zwikel1Department of Physics, Loyola University ChicagoPerimeter Institute for Theoretical PhysicsAbstract Charges associated with gauge symmetries are defined on boundaries of spacetimes. But these constructions typically involve divergent quantities when considering asymptotic boundaries. Different prescriptions exist to address this problem, based on ambiguities in the definition of the symplectic potential. We propose a method well suited to leaky boundaries, which describe spacetimes than can exchange matter or radiation with their environment. The main advantage of this approach is that it relies only on the bulk Lagrangian and it is not tied to a specific choice of boundary conditions. The prescription is applied to four dimensional Einstein-Hilbert gravity in the partial Bondi gauge. This leads to a finite symplectic potential for unconstrained boundary data and reveals two new corner symplectic pairs associated with the relaxation of the gauge.https://doi.org/10.1007/JHEP01(2025)049Classical Theories of GravitySpace-Time Symmetries |
| spellingShingle | Robert McNees Céline Zwikel The symplectic potential for leaky boundaries Journal of High Energy Physics Classical Theories of Gravity Space-Time Symmetries |
| title | The symplectic potential for leaky boundaries |
| title_full | The symplectic potential for leaky boundaries |
| title_fullStr | The symplectic potential for leaky boundaries |
| title_full_unstemmed | The symplectic potential for leaky boundaries |
| title_short | The symplectic potential for leaky boundaries |
| title_sort | symplectic potential for leaky boundaries |
| topic | Classical Theories of Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP01(2025)049 |
| work_keys_str_mv | AT robertmcnees thesymplecticpotentialforleakyboundaries AT celinezwikel thesymplecticpotentialforleakyboundaries AT robertmcnees symplecticpotentialforleakyboundaries AT celinezwikel symplecticpotentialforleakyboundaries |