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Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified)

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

The KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system -- open-closed string theory. Non-perturbative solutions of the multi-critical unitary matrix models map to non-singular solutions of the `renormalisation group' equation for the string susceptibility, $[\tilde{P},Q]=Q$. We also demonstrate that the large N solutions of unitary matrix integrals in external fields, studied by Gross and Newman, equal the non-singular pure closed-string solutions of $[\tilde{P},Q]=Q$.

fields

hep-th 2

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Spectral Form Factor of Gapped Random Matrix Systems

hep-th · 2026-01-28 · unverdicted · novelty 6.0

In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.

citing papers explorer

Showing 2 of 2 citing papers.

  • Instanton-Induced Closed-String Amplitudes in Minimal Superstring Theory at Subleading Order hep-th · 2026-06-04 · unverdicted · none · ref 39 · internal anchor

    Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.

  • Spectral Form Factor of Gapped Random Matrix Systems hep-th · 2026-01-28 · unverdicted · none · ref 87 · internal anchor

    In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.