(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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Main Authors: A. Artemev, I. Chaban
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
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
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institution Kabale University
issn 1029-8479
language English
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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