The super Virasoro minimal string arises from quantizing 3d supergravity, with 0A+ and 0B+ dual to the bosonic minimal string matrix integral, 0B- to one with inverse square root singularity, and 0A- having vanishing non-trivial perturbative amplitudes.
String Theory in Two Dimensions
7 Pith papers cite this work. Polarity classification is still indexing.
abstract
I review some of the recent progress in two-dimensional string theory, which is formulated as a sum over surfaces embedded in one dimension.
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Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.
A bootstrap SDP with a dual 'inequalities of motion' formulation rigorously bounds Euclidean two-point correlators and extracts the low-lying adjoint spectrum of one-matrix quantum mechanics.
The perturbative c=1 string S-matrix equals a double-scaled matrix integral on the spectral curve x=2√2 cos(z), y=sin(z), establishing a worldsheet–MQM–matrix-integral triality.
At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.
The seven-vertex matrix model realizes sine-Liouville gravity through a shared classical spectral curve with matrix quantum mechanics but distinct branes, with dilute-dense flow analogous to a gravitational massless sine-Gordon flow.
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.
citing papers explorer
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The Super Virasoro Minimal String from 3d Supergravity
The super Virasoro minimal string arises from quantizing 3d supergravity, with 0A+ and 0B+ dual to the bosonic minimal string matrix integral, 0B- to one with inverse square root singularity, and 0A- having vanishing non-trivial perturbative amplitudes.
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Fate of "Space-like singularities" in $c=1$ Matrix Model
Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.
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Bootstrapping Euclidean Two-point Correlators
A bootstrap SDP with a dual 'inequalities of motion' formulation rigorously bounds Euclidean two-point correlators and extracts the low-lying adjoint spectrum of one-matrix quantum mechanics.
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$c=1$ strings as a matrix integral
The perturbative c=1 string S-matrix equals a double-scaled matrix integral on the spectral curve x=2√2 cos(z), y=sin(z), establishing a worldsheet–MQM–matrix-integral triality.
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Regge trajectories from the adjoint sector of Matrix Quantum Mechanics
At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.
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Sine-Liouville gravity as a Vertex Model on Planar Graphs
The seven-vertex matrix model realizes sine-Liouville gravity through a shared classical spectral curve with matrix quantum mechanics but distinct branes, with dilute-dense flow analogous to a gravitational massless sine-Gordon flow.
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Multi-Matrix Quantum Mechanics, Collective Fields and Emergent Space
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.