Polylogarithms, multiple zeta values and superstring amplitudes

By Johannes Broedel, O. Schlotterer, S. Stieberger. 2013

228 citations recorded by the source corpus.

A formalism is provided to calculate tree amplitudes in open superstring theory for any multiplicity at any order in the inverse string tension. We point out that the underlying world‐sheet disk integrals share substantial properties with color‐ordered tree amplitudes in Yang‐Mills field theories. In particular, we closely relate world‐sheet integrands of open‐string tree amplitudes to the Kawai‐Lewellen‐Tye representation of supergravity amplitudes. This correspondence helps to reduce the singular parts of world‐sheet disk integrals – including their string corrections – to lower‐point results. The remaining regular parts are systematically addressed by polylogarithm manipulations.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6c06ace1572e9a2ac8e623d9aee352ef72fc6100

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In Nuclear and High Energy Physics

Citations in the corpus

Unifying relations for scattering amplitudes (2017, background): “Again applying the freedom of choosing an initial pair of biadjoint scalars, we obtain A(π1, π2, π3, π4) = A(φ1φ2, π3, π4) = L · T [12] · A(g1, g2, g3, g4) = A(φ1φ3, π2, π4) = L · T [13] · A(g1, g2, g3, g4) = p1p3 , (58)”
Black Hole Formation and Classicalization in Ultra-Planckian 2 ! N Scattering (2014, unknown): “, N − 2), N − 1, N), σ ∈ SN−3 and the (N − 3)! × (N − 3)! matrix F , whose entries Fπσ can be expressed as [38] Fπσ = (−α′)N−3 ∑ ρ∈SN−3 Zπ(ρ) S[ρ|σ ] , (5.”
Motivic multiple zeta values and superstring amplitudes (2012, background): “Though computing some of these expansions has been accomplished at the six- [14, 15] and seven-point level [23, 29], a systematic approach is still lacking and will be presented in [28].”
Feynman integrals and hyperlogarithms (2015, methodology): “7 • Examples of transformations of polylogarithms into hyperlogarithms given in [46].”
Closed string amplitudes as single-valued open string amplitudes (2014, background): “According to [21] the latter can be expressed in terms of basic open string world–sheet disk integrals (zij = zi − zj) Zπ(ρ) := Zπ(1, ρ(2, .”