Random matrix model of the Virasoro minimal string

Johnson, Clifford V.

doi:10.1103/PhysRevD.110.066015

Title: Random matrix model of the Virasoro minimal string

Journal Article · 19 September 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.066015 · OSTI ID:2447481

The model of two dimensional quantum gravity defining the Virasoro minimal string, presented recently by Collier, Eberhardt, Mühlmann, and Rodriguez, was also shown to be perturbatively (in topology) equivalent to a random matrix model. An alternative definition is presented here, in terms of double-scaled orthogonal polynomials, thereby allowing direct access to nonperturbative physics. Already at leading order, the defining string equation’s properties yield valuable information about the nonperturbative fate of the model, confirming that the case $(c = 25, \hat{c} = 1)$ (central charges of spacelike and timelike Liouville sectors) is special, by virtue of sharing certain key features of the $N = 1$ supersymmetric JT gravity string equation. Solutions of the full string equation are constructed using a special limit, and the (Cardy) spectral density is completed to all genus and beyond. The distributions of the underlying discrete spectra are readily accessible too, as is the spectral form factor. Some examples of these are exhibited. Published by the American Physical Society 2024

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Research Organization:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0011687

OSTI ID:: 2447481

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 6 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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