A relation between (2,2m − 1) minimal strings and the Virasoro minimal string

We propose a connection between the newly formulated Virasoro minimal string and the well-established (2,2m−1) minimal string via their dual matrix models by deriving the string equation of the Virasoro minimal string using the expansion of its density of states in powers of Em+1/2. The string equat...

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Bibliographic Details
Main Author: Alicia Castro
Format: Article
Language:English
Published: Elsevier 2024-08-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324003952
Description
Summary:We propose a connection between the newly formulated Virasoro minimal string and the well-established (2,2m−1) minimal string via their dual matrix models by deriving the string equation of the Virasoro minimal string using the expansion of its density of states in powers of Em+1/2. The string equation is expressed as a power series involving double-scaled multicritical matrix models, which are dual to (2,2m−1) minimal strings. This reformulation of the Virasoro minimal string enables us to employ matrix theory tools to compute its n-boundary correlators. We analyze the scaling behavior of n-boundary correlators and quantum volumes V0,n(b)(ℓ1,…,ℓn) in the JT gravity limit.
ISSN:0370-2693