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2018

Closed strings as single-valued open strings: A genus-zero derivation

Schlotterer, Oliver, Schnetz, Oliver

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Based on general mathematical assumptions we give an independent, elementary derivation of a theorem by Francis Brown and Cl\'ement Dupont which states that tree-level amplitudes of closed and open strings are related through the single-valued map `sv'.

This relation can be traced back to the underlying moduli-space integrals over punctured Riemann surfaces of genus zero.
The sphere integrals $J$ in closed-string amplitudes and the disk integrals $Z$ in open-string amplitudes are shown to obey $J = {\rm sv} \, Z$.

Closed strings as single-valued open strings: A genus-zero derivation · Around

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