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.
Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
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abstract
A formalism is provided to calculate tree amplitudes in open superstring theory for any multiplicity at any order in the inverse string tension. We point out that the underlying world-sheet disk integrals share substantial properties with color-ordered tree amplitudes in Yang-Mills field theories. In particular, we closely relate world-sheet integrands of open-string tree amplitudes to the Kawai-Lewellen-Tye representation of supergravity amplitudes. This correspondence helps to reduce the singular parts of world-sheet disk integrals -including their string corrections- to lower-point results. The remaining regular parts are systematically addressed by polylogarithm manipulations.
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Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse operators at finite alpha'.
All-multiplicity building blocks for AdS string amplitudes are defined by dressing flat-space integrals with polylogarithms, yielding derived monodromy relations for open strings and KLT factorization for closed strings.
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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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Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes
Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse operators at finite alpha'.
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All-multiplicity monodromy and KLT relations for AdS string integrals
All-multiplicity building blocks for AdS string amplitudes are defined by dressing flat-space integrals with polylogarithms, yielding derived monodromy relations for open strings and KLT factorization for closed strings.