Liouville theory and matrix models: a Wheeler DeWitt perspective
Abstract We analyse the connections between the Wheeler DeWitt approach for two dimensional quantum gravity and holography, focusing mainly in the case of Liouville theory coupled to c = 1 matter. Our motivation is to understand whether some form of averaging is essential for the boundary theory, if...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2020)125 |
| _version_ | 1819091172428087296 |
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| author | P. Betzios O. Papadoulaki |
| author_facet | P. Betzios O. Papadoulaki |
| author_sort | P. Betzios |
| collection | DOAJ |
| description | Abstract We analyse the connections between the Wheeler DeWitt approach for two dimensional quantum gravity and holography, focusing mainly in the case of Liouville theory coupled to c = 1 matter. Our motivation is to understand whether some form of averaging is essential for the boundary theory, if we wish to describe the bulk quantum gravity path integral of this two dimensional example. The analysis hence, is in a spirit similar to the recent studies of Jackiw-Teitelboim (JT)-gravity. Macroscopic loop operators define the asymptotic region on which the holographic boundary dual resides. Matrix quantum mechanics (MQM) and the associated double scaled fermionic field theory on the contrary, is providing an explicit “unitary in superspace” description of the complete dynamics of such two dimensional universes with matter, including the effects of topology change. If we try to associate a Hilbert space to a single boundary dual, it seems that it cannot contain all the information present in the non-perturbative bulk quantum gravity path integral and MQM. |
| first_indexed | 2024-12-21T22:35:30Z |
| format | Article |
| id | doaj.art-29ab66dc451b4c6c85063b23925c979d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T22:35:30Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-29ab66dc451b4c6c85063b23925c979d2022-12-21T18:47:58ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020914910.1007/JHEP09(2020)125Liouville theory and matrix models: a Wheeler DeWitt perspectiveP. Betzios0O. Papadoulaki1Crete Center for Theoretical Physics, Institute for Theoretical and Computational Physics, Department of Physics, University of CreteInternational Centre for Theoretical PhysicsAbstract We analyse the connections between the Wheeler DeWitt approach for two dimensional quantum gravity and holography, focusing mainly in the case of Liouville theory coupled to c = 1 matter. Our motivation is to understand whether some form of averaging is essential for the boundary theory, if we wish to describe the bulk quantum gravity path integral of this two dimensional example. The analysis hence, is in a spirit similar to the recent studies of Jackiw-Teitelboim (JT)-gravity. Macroscopic loop operators define the asymptotic region on which the holographic boundary dual resides. Matrix quantum mechanics (MQM) and the associated double scaled fermionic field theory on the contrary, is providing an explicit “unitary in superspace” description of the complete dynamics of such two dimensional universes with matter, including the effects of topology change. If we try to associate a Hilbert space to a single boundary dual, it seems that it cannot contain all the information present in the non-perturbative bulk quantum gravity path integral and MQM.http://link.springer.com/article/10.1007/JHEP09(2020)1252D GravityMatrix ModelsModels of Quantum GravityAdS-CFT Correspondence |
| spellingShingle | P. Betzios O. Papadoulaki Liouville theory and matrix models: a Wheeler DeWitt perspective Journal of High Energy Physics 2D Gravity Matrix Models Models of Quantum Gravity AdS-CFT Correspondence |
| title | Liouville theory and matrix models: a Wheeler DeWitt perspective |
| title_full | Liouville theory and matrix models: a Wheeler DeWitt perspective |
| title_fullStr | Liouville theory and matrix models: a Wheeler DeWitt perspective |
| title_full_unstemmed | Liouville theory and matrix models: a Wheeler DeWitt perspective |
| title_short | Liouville theory and matrix models: a Wheeler DeWitt perspective |
| title_sort | liouville theory and matrix models a wheeler dewitt perspective |
| topic | 2D Gravity Matrix Models Models of Quantum Gravity AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP09(2020)125 |
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