(2, 2p + 1) minimal string and intersection theory I
Abstract In view of the recent progress in studying matrix model-2D gravity duality, we reexamine some features of (2, 2p + 1) minimal string. After reviewing both sides of the proposed correspondence in this case, a previously unnoted identification between correlation numbers of tachyon operators...
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2025-01-01
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Online Access: | https://doi.org/10.1007/JHEP01(2025)151 |
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author | A. Artemev I. Chaban |
author_facet | A. Artemev I. Chaban |
author_sort | A. Artemev |
collection | DOAJ |
description | Abstract In view of the recent progress in studying matrix model-2D gravity duality, we reexamine some features of (2, 2p + 1) minimal string. After reviewing both sides of the proposed correspondence in this case, a previously unnoted identification between correlation numbers of tachyon operators in certain domain of parameter space and “p-deformed volumes”, which are certain integral transforms of topological recursion data, is described and clarified. This identification allows us to efficiently study correlation numbers at finite matter central charge. In particular, we obtain an intersection-theoretic formula and the simplest recurrent equations for them, analogous to the ones recently derived for Virasoro minimal string. These formulas might be useful in establishing a more thorough connection between worldsheet and matrix model approaches. |
format | Article |
id | doaj-art-880f5427ed5b454ca8e458f0ca732bff |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2025-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-880f5427ed5b454ca8e458f0ca732bff2025-02-09T12:07:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113110.1007/JHEP01(2025)151(2, 2p + 1) minimal string and intersection theory IA. Artemev0I. Chaban1Krichever Center, Skolkovo Institute of Science and TechnologyKrichever Center, Skolkovo Institute of Science and TechnologyAbstract In view of the recent progress in studying matrix model-2D gravity duality, we reexamine some features of (2, 2p + 1) minimal string. After reviewing both sides of the proposed correspondence in this case, a previously unnoted identification between correlation numbers of tachyon operators in certain domain of parameter space and “p-deformed volumes”, which are certain integral transforms of topological recursion data, is described and clarified. This identification allows us to efficiently study correlation numbers at finite matter central charge. In particular, we obtain an intersection-theoretic formula and the simplest recurrent equations for them, analogous to the ones recently derived for Virasoro minimal string. These formulas might be useful in establishing a more thorough connection between worldsheet and matrix model approaches.https://doi.org/10.1007/JHEP01(2025)1512D GravityModels of Quantum GravityConformal and W Symmetry |
spellingShingle | A. Artemev I. Chaban (2, 2p + 1) minimal string and intersection theory I Journal of High Energy Physics 2D Gravity Models of Quantum Gravity Conformal and W Symmetry |
title | (2, 2p + 1) minimal string and intersection theory I |
title_full | (2, 2p + 1) minimal string and intersection theory I |
title_fullStr | (2, 2p + 1) minimal string and intersection theory I |
title_full_unstemmed | (2, 2p + 1) minimal string and intersection theory I |
title_short | (2, 2p + 1) minimal string and intersection theory I |
title_sort | 2 2p 1 minimal string and intersection theory i |
topic | 2D Gravity Models of Quantum Gravity Conformal and W Symmetry |
url | https://doi.org/10.1007/JHEP01(2025)151 |
work_keys_str_mv | AT aartemev 22p1minimalstringandintersectiontheoryi AT ichaban 22p1minimalstringandintersectiontheoryi |