An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity
Abstract We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS2 spacetimes. We quantize this theory in Lorentz signature, and compute the Euclidean path integral summing over topologies including dynamical branes....
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2022
|
| Online Access: | https://hdl.handle.net/1721.1/139621 |
| _version_ | 1826190424761434112 |
|---|---|
| author | Gao, Ping Jafferis, Daniel L. Kolchmeyer, David K. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Gao, Ping Jafferis, Daniel L. Kolchmeyer, David K. |
| author_sort | Gao, Ping |
| collection | MIT |
| description | Abstract
We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS2 spacetimes. We quantize this theory in Lorentz signature, and compute the Euclidean path integral summing over topologies including dynamical branes. The latter will be seen to exactly match with a modification of the SSS matrix model. The resolution of UV divergences in the gravitational instantons involving the branes will lead us to understand the matrix model interpretation of the Wilsonian effective theory perspective on the gravitational theory. We complete this modified SSS matrix model nonperturbatively by extending the integration contour of eigenvalues into the complex plane. Furthermore, we give a new interpretation of other phases in such matrix models. We derive an effective W(Φ) dilaton gravity, which exhibits similar physics semiclassically. In the limit of a large number of flavors of branes, the effective extremal entropy S0,eff has the form of counting the states of these branes. |
| first_indexed | 2024-09-23T08:39:45Z |
| format | Article |
| id | mit-1721.1/139621 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:39:45Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1396212023-12-20T16:55:06Z An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity Gao, Ping Jafferis, Daniel L. Kolchmeyer, David K. Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS2 spacetimes. We quantize this theory in Lorentz signature, and compute the Euclidean path integral summing over topologies including dynamical branes. The latter will be seen to exactly match with a modification of the SSS matrix model. The resolution of UV divergences in the gravitational instantons involving the branes will lead us to understand the matrix model interpretation of the Wilsonian effective theory perspective on the gravitational theory. We complete this modified SSS matrix model nonperturbatively by extending the integration contour of eigenvalues into the complex plane. Furthermore, we give a new interpretation of other phases in such matrix models. We derive an effective W(Φ) dilaton gravity, which exhibits similar physics semiclassically. In the limit of a large number of flavors of branes, the effective extremal entropy S0,eff has the form of counting the states of these branes. 2022-01-18T21:22:35Z 2022-01-18T21:22:35Z 2022-01-10 2022-01-16T05:09:46Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/139621 Journal of High Energy Physics. 2022 Jan 10;2022(1):38 PUBLISHER_CC en https://doi.org/10.1007/JHEP01(2022)038 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Gao, Ping Jafferis, Daniel L. Kolchmeyer, David K. An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity |
| title | An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity |
| title_full | An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity |
| title_fullStr | An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity |
| title_full_unstemmed | An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity |
| title_short | An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity |
| title_sort | effective matrix model for dynamical end of the world branes in jackiw teitelboim gravity |
| url | https://hdl.handle.net/1721.1/139621 |
| work_keys_str_mv | AT gaoping aneffectivematrixmodelfordynamicalendoftheworldbranesinjackiwteitelboimgravity AT jafferisdaniell aneffectivematrixmodelfordynamicalendoftheworldbranesinjackiwteitelboimgravity AT kolchmeyerdavidk aneffectivematrixmodelfordynamicalendoftheworldbranesinjackiwteitelboimgravity AT gaoping effectivematrixmodelfordynamicalendoftheworldbranesinjackiwteitelboimgravity AT jafferisdaniell effectivematrixmodelfordynamicalendoftheworldbranesinjackiwteitelboimgravity AT kolchmeyerdavidk effectivematrixmodelfordynamicalendoftheworldbranesinjackiwteitelboimgravity |