Motivic Multiple Zeta Values and Superstring Amplitudes
pith:MUCS2IVT Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{MUCS2IVT}
Prints a linked pith:MUCS2IVT badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
The structure of tree-level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows to disentangle its alpha'-expansion into several contributions accounting for different classes of multiple zeta values. This form is bolstered by the decomposition of motivic multiple zeta values, i.e. the latter encapsulate the alpha'-expansion of the superstring amplitude. Moreover, a morphism induced by the coproduct maps the alpha'-expansion onto a non-commutative Hopf algebra. This map represents a generalization of the symbol of a transcendental function. In terms of elements of this Hopf algebra the alpha'-expansion assumes a very simple and symmetric form, which carries all the relevant information. Equipped with these results we can also cast the closed superstring amplitude into a very elegant form.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
On the Inverse Problem in Effective Field Theory
The tree-level spectrum of heavy particles can be extracted from EFT Wilson coefficients using new nonlinear analytic dispersion relations, exactly for finite resonances and approximately otherwise.
-
$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
-
Resurgence of high-energy string amplitudes
High-energy string amplitudes have asymptotic expansions governed by Bernoulli numbers, upgraded via resurgence to transseries whose Stokes data encode non-perturbative monodromy between kinematic regions.
-
String Theory from Maximal Supersymmetry
Supersymmetry, R-symmetry, and positivity constrain planar 4d EFTs to match the open string Veneziano amplitude at tree level.
-
Towards Motivic Coactions at Genus One from Zeta Generators
Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple mo...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.