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arXiv · 1808.00713

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

Oliver Schlotterer·Oliver Schnetz
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Abstract

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 $J = {\rm sv} \, Z$.

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Oliver Schlotterer, Oliver Schnetz. 2018-08-02. Closed strings as single-valued open strings: A genus-zero derivation. https://doi.org/10.1088/1751-8121%2Faaea14

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