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

Abstract

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.