Closed string amplitudes as single-valued open string amplitudes

By S. Stieberger, T. R. Taylor. 2014

133 citations recorded by the source corpus.

We show that the single trace heterotic N-point tree-level gauge amplitude ANHET can be obtained from the corresponding type I amplitude ANI by the single-valued (sv) projection: ANHET=sv(ANI). 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 α′-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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9a61de71988ca5e72ab296ea9aa1c4b44cab06bb

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Citations in the corpus

SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES (2014, background): “(2) the coefficients of the closed super-string tree-level amplitude [29, 30]; and (3) wrapping functions in N = 4 super Yang–Mills theory [24]; as well as in [7, 19, 20, 26], and also in mathematics as the coefficients of Deligne’s associator.”
Black Hole Formation and Classicalization in Ultra-Planckian 2 ! N Scattering (2014, background): “To extract the high-energy limit α′ → ∞ of the latter we use [34]”
Unifying relations for scattering amplitudes (2017, background): “For a detailed discussion on the single-value projection, see for instance [17] and references there in.”
Double copy for massive quantum particles with spin (2019, result): “Not only does it follow from the work of KLT [14], but also more recent results show that the double-copy structure permeates all types of strings: the bosonic, heterotic, closed and open superstrings [109–115].”