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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An infinite family of complex saddles plus a bootstrap on multiplicities yields a precise high-energy asymptotic expansion for one-loop string amplitudes with oscillatory terms.
A first direct regularized construction of the unprojected spin sectors of the Type IIB superstring torus vacuum is given via sector-resolved modular integrals.
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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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Precision asymptotics of string amplitudes
An infinite family of complex saddles plus a bootstrap on multiplicities yields a precise high-energy asymptotic expansion for one-loop string amplitudes with oscillatory terms.
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Lorentzian Regularization of the Type IIB Superstring Torus Vacuum
A first direct regularized construction of the unprojected spin sectors of the Type IIB superstring torus vacuum is given via sector-resolved modular integrals.