Conservation and integrability in lower-dimensional gravity
Abstract We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS and asymptotically locally flat spacetimes. In two...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)034 |
| _version_ | 1818441526258171904 |
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| author | Romain Ruzziconi Céline Zwikel |
| author_facet | Romain Ruzziconi Céline Zwikel |
| author_sort | Romain Ruzziconi |
| collection | DOAJ |
| description | Abstract We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS and asymptotically locally flat spacetimes. In two dimensions, we start from a general class of models that includes JT and CGHS dilaton gravity theories, while in three dimensions, we work in Einstein gravity. In both cases, we construct the phase space and renormalize the divergences arising in the symplectic structure through a holographic renormalization procedure. We show that the charge expressions are generically finite, not conserved but can be made integrable by a field-dependent redefinition of the asymptotic symmetry parameters. |
| first_indexed | 2024-12-14T18:29:39Z |
| format | Article |
| id | doaj.art-db71f1fdd5d34bc3a688268d1ccd5e68 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T18:29:39Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-db71f1fdd5d34bc3a688268d1ccd5e682022-12-21T22:51:49ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021413910.1007/JHEP04(2021)034Conservation and integrability in lower-dimensional gravityRomain Ruzziconi0Céline Zwikel1Institute for Theoretical Physics, TU WienInstitute for Theoretical Physics, TU WienAbstract We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS and asymptotically locally flat spacetimes. In two dimensions, we start from a general class of models that includes JT and CGHS dilaton gravity theories, while in three dimensions, we work in Einstein gravity. In both cases, we construct the phase space and renormalize the divergences arising in the symplectic structure through a holographic renormalization procedure. We show that the charge expressions are generically finite, not conserved but can be made integrable by a field-dependent redefinition of the asymptotic symmetry parameters.https://doi.org/10.1007/JHEP04(2021)0342D GravityClassical Theories of GravitySpace-Time SymmetriesGauge-gravity correspondence |
| spellingShingle | Romain Ruzziconi Céline Zwikel Conservation and integrability in lower-dimensional gravity Journal of High Energy Physics 2D Gravity Classical Theories of Gravity Space-Time Symmetries Gauge-gravity correspondence |
| title | Conservation and integrability in lower-dimensional gravity |
| title_full | Conservation and integrability in lower-dimensional gravity |
| title_fullStr | Conservation and integrability in lower-dimensional gravity |
| title_full_unstemmed | Conservation and integrability in lower-dimensional gravity |
| title_short | Conservation and integrability in lower-dimensional gravity |
| title_sort | conservation and integrability in lower dimensional gravity |
| topic | 2D Gravity Classical Theories of Gravity Space-Time Symmetries Gauge-gravity correspondence |
| url | https://doi.org/10.1007/JHEP04(2021)034 |
| work_keys_str_mv | AT romainruzziconi conservationandintegrabilityinlowerdimensionalgravity AT celinezwikel conservationandintegrabilityinlowerdimensionalgravity |