Closed String Amplitudes as Single-Valued Open String Amplitudes

Stephan Stieberger; Tomasz R. Taylor

doi:10.1016/j.nuclphysb.2014.02.005

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arXiv · 1401.1218

Closed String Amplitudes as Single-Valued Open String Amplitudes

Stephan Stieberger·Tomasz R. Taylor

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Abstract

We show that the single trace heterotic N-point tree-level gauge amplitude A_HET can be obtained from the corresponding type I amplitude A_I by the single-valued (sv) projection: A_HET=sv(A_I). This projection maps multiple zeta values to single-valued multiple zeta values. The latter represent a subclass of multiple zeta values originating from single-valued multiple polylogarithms at unity. Similar relations between open and closed string amplitudes or amplitudes of different string vacua can be established. As a consequence the alpha'-expansion of a closed string amplitude is dictated by that of the corresponding open string amplitude. The combination of single-valued projections, Kawai-Lewellen-Tye relations and Mellin correspondence reveal a unity of all tree-level open and closed superstring amplitudes together with the maximally supersymmetric Yang-Mills and supergravity theories.

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BibTeX RIS

Stephan Stieberger, Tomasz R. Taylor. 2014-01-06. Closed String Amplitudes as Single-Valued Open String Amplitudes. https://doi.org/10.1016/j.nuclphysb.2014.02.005

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