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.
The Feynman $i \epsilon$ in String Theory
5 Pith papers cite this work, alongside 98 external citations. Polarity classification is still indexing.
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abstract
The Feynman $i\varepsilon$ is an important ingredient in defining perturbative scattering amplitudes in field theory. Here we describe its analog in string theory. Roughly one takes the string worldsheet to have Lorentz signature when a string is going on-shell although it has Euclidean signature generically.
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High-energy string amplitudes have asymptotic expansions governed by Bernoulli numbers, upgraded via resurgence to transseries whose Stokes data encode non-perturbative monodromy between kinematic regions.
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.
A first direct regularized construction of the unprojected spin sectors of the Type IIB superstring torus vacuum is given via sector-resolved modular integrals.
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
citing papers explorer
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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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Resurgence of high-energy string amplitudes
High-energy string amplitudes have asymptotic expansions governed by Bernoulli numbers, upgraded via resurgence to transseries whose Stokes data encode non-perturbative monodromy between kinematic regions.
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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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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.
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Aspects of strings without spacetime supersymmetry
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.