Sphere and disk partition functions in Liouville and in matrix integrals
Abstract We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An applicatio...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)132 |
| _version_ | 1818509754832519168 |
|---|---|
| author | Raghu Mahajan Douglas Stanford Cynthia Yan |
| author_facet | Raghu Mahajan Douglas Stanford Cynthia Yan |
| author_sort | Raghu Mahajan |
| collection | DOAJ |
| description | Abstract We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite. |
| first_indexed | 2024-12-10T22:49:44Z |
| format | Article |
| id | doaj.art-8e4e0cc9e280429d953de9c8edd543b8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T22:49:44Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8e4e0cc9e280429d953de9c8edd543b82022-12-22T01:30:28ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022712710.1007/JHEP07(2022)132Sphere and disk partition functions in Liouville and in matrix integralsRaghu Mahajan0Douglas Stanford1Cynthia Yan2Stanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityAbstract We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite.https://doi.org/10.1007/JHEP07(2022)1322D GravityConformal Field Models in String TheoryMatrix ModelsScale and Conformal Symmetries |
| spellingShingle | Raghu Mahajan Douglas Stanford Cynthia Yan Sphere and disk partition functions in Liouville and in matrix integrals Journal of High Energy Physics 2D Gravity Conformal Field Models in String Theory Matrix Models Scale and Conformal Symmetries |
| title | Sphere and disk partition functions in Liouville and in matrix integrals |
| title_full | Sphere and disk partition functions in Liouville and in matrix integrals |
| title_fullStr | Sphere and disk partition functions in Liouville and in matrix integrals |
| title_full_unstemmed | Sphere and disk partition functions in Liouville and in matrix integrals |
| title_short | Sphere and disk partition functions in Liouville and in matrix integrals |
| title_sort | sphere and disk partition functions in liouville and in matrix integrals |
| topic | 2D Gravity Conformal Field Models in String Theory Matrix Models Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP07(2022)132 |
| work_keys_str_mv | AT raghumahajan sphereanddiskpartitionfunctionsinliouvilleandinmatrixintegrals AT douglasstanford sphereanddiskpartitionfunctionsinliouvilleandinmatrixintegrals AT cynthiayan sphereanddiskpartitionfunctionsinliouvilleandinmatrixintegrals |