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.
Instantons in sine-Liouville theory,
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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.
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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$c=1$ 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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Instanton-Induced Closed-String Amplitudes in Minimal Superstring Theory at Subleading Order
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.
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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.