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Lorentzian contours for tree-level string amplitudes
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abstract
We engineer compact contours on the moduli spaces of genus-zero Riemann surfaces that achieve analytic continuation from Euclidean to Lorentzian worldsheets. These generalized Pochhammer contours are based on the combinatorics of associahedra and make the analytic properties of tree-level amplitudes entirely manifest for any number and type of external strings. We use them in practice to perform first numerical computations of open and closed string amplitudes directly in the physical kinematics for $n=4,5,6,7,8,9$. We provide a code that allows anyone to do such computations.
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Cited by 1 Pith paper
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Open String Amplitudes: Singularities, Asymptotics, and New Representations
New analytic tools, including an all-kinematics five-point closed form, for tree-level open string amplitudes come from the u-variable formulation.
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