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

Schlotterer O, Schnetz O (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 52

Journal Issue: 4

DOI: 10.1088/1751-8121/aaea14

Abstract

Based on general mathematical assumptions we give an independent, elementary derivation of a theorem by Brown and Dupont (2018 Talk given by F Brown in 'String Math' (Sendai, June 2018)) 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 = sv Z.

Authors with CRIS profile

Oliver Schnetz Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

Max Planck Institute for Gravitational Physics / Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) DE Germany (DE)

How to cite

APA:

Schlotterer, O., & Schnetz, O. (2019). Closed strings as single-valued open strings: a genus-zero derivation. Journal of Physics A: Mathematical and Theoretical, 52(4). https://dx.doi.org/10.1088/1751-8121/aaea14

MLA:

Schlotterer, Oliver, and Oliver Schnetz. "Closed strings as single-valued open strings: a genus-zero derivation." Journal of Physics A: Mathematical and Theoretical 52.4 (2019).

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