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

2024/01/11 by Castro, Alicia
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2401.06216

Abstract

We propose a connection between the newly formulated Virasoro minimal string and the well-established (2,2m-1) minimal string by deriving the string equation of the Virasoro minimal string using the expansion of its density of states in powers of Em+1/2. This 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 Virasoro minimal strings 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 V(b)0,n(ℓ1,…,ℓn) in the JT gravity limit.

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