p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory
Abstract Previously it was suggested, motivated by correspondence with JT gravity, that tachyon correlators in (2, 2p+1) minimal Liouville gravity (MLG) in the p → ∞ (semiclassical) limit should be interpreted as moduli space volumes for constant curvature surfaces with conical defects. In this work...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2023)155 |
| _version_ | 1797233802994515968 |
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| author | A. Artemev |
| author_facet | A. Artemev |
| author_sort | A. Artemev |
| collection | DOAJ |
| description | Abstract Previously it was suggested, motivated by correspondence with JT gravity, that tachyon correlators in (2, 2p+1) minimal Liouville gravity (MLG) in the p → ∞ (semiclassical) limit should be interpreted as moduli space volumes for constant curvature surfaces with conical defects. In this work we propose that these volumes are associated with Kähler metrics on moduli spaces introduced by Zograf and Takhtajan, for which the classical Liouville action is a Kähler potential. We check this proposal by numerical calculation of these Kähler metrics and associated volumes for the simplest example of genus 0 surface with 4 conical defects, using conformal field theory. A peculiar property of MLG correlators is proportionality to number of conformal blocks in a certain region of parameter space; in a particular limiting case, we check this property for the volumes following from classical Liouville action and thus provide an analytic confirmation of our proposal. |
| first_indexed | 2024-03-08T18:16:14Z |
| format | Article |
| id | doaj.art-0c48b6a989a24e3fbf7335cf468260c8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:21:58Z |
| publishDate | 2023-12-01 |
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| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0c48b6a989a24e3fbf7335cf468260c82024-03-31T11:08:20ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231212310.1007/JHEP12(2023)155p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theoryA. Artemev0Landau Institute for Theoretical PhysicsAbstract Previously it was suggested, motivated by correspondence with JT gravity, that tachyon correlators in (2, 2p+1) minimal Liouville gravity (MLG) in the p → ∞ (semiclassical) limit should be interpreted as moduli space volumes for constant curvature surfaces with conical defects. In this work we propose that these volumes are associated with Kähler metrics on moduli spaces introduced by Zograf and Takhtajan, for which the classical Liouville action is a Kähler potential. We check this proposal by numerical calculation of these Kähler metrics and associated volumes for the simplest example of genus 0 surface with 4 conical defects, using conformal field theory. A peculiar property of MLG correlators is proportionality to number of conformal blocks in a certain region of parameter space; in a particular limiting case, we check this property for the volumes following from classical Liouville action and thus provide an analytic confirmation of our proposal.https://doi.org/10.1007/JHEP12(2023)1552D GravityModels of Quantum GravityConformal and W Symmetry |
| spellingShingle | A. Artemev p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory Journal of High Energy Physics 2D Gravity Models of Quantum Gravity Conformal and W Symmetry |
| title | p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory |
| title_full | p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory |
| title_fullStr | p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory |
| title_full_unstemmed | p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory |
| title_short | p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory |
| title_sort | p ∞ limit of tachyon correlators in 2 2p 1 minimal liouville gravity from classical liouville theory |
| topic | 2D Gravity Models of Quantum Gravity Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP12(2023)155 |
| work_keys_str_mv | AT aartemev plimitoftachyoncorrelatorsin22p1minimalliouvillegravityfromclassicalliouvilletheory |