Closed String Amplitudes as Single-Valued Open String Amplitudes

2014/01/06 by Stephan Stieberger, Tomasz R. Taylor · 2 citations
Mathematics · Physics and Astronomy · #hep-th #math.NT

paper · pdf · doi:10.1016/j.nuclphysb.2014.02.005

25 pages, harvmac

arxiv created 2014/01/06 · arxiv updated 2015/06/18

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.

Cited by

• Stringy KLT Relations on AdS
• High Energy String Theory and the Celestial Sphere

Related

• Closed Superstring Amplitudes, Single-Valued Multiple Zeta Values and Deligne Associator
• Polylogarithms, multiple zeta values and superstring amplitudes
• Building blocks of closed and open string amplitudes
• Relations between closed string amplitudes and mixed string amplitudes at tree-level
• A Relation between One-Loop Amplitudes of Closed and Open Strings (One-Loop KLT Relation)