REVIEW 4 cited by
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
In this PhD thesis we study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are involved in the computation of genus one superstring amplitudes. In particular, we obtain new results on the asymptotic expansion of these functions that allow us to perform explicit computations and point out analogies between genus zero and genus one amplitudes.
Forward citations
Cited by 4 Pith papers
-
One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points
A-cycle integrals at genus one satisfy linear differential equations whose Picard iterations yield all-order alpha-prime expansions in iterated Eisenstein integrals, with cusp values given by disk integrals.
-
Degenerations of flat connections on Riemann surfaces
Enriquez and DHS kernels on genus-h surfaces close under non-separating degeneration to genus h-1 kernels with two punctures whose generators are Bernoulli series in the original Lie algebra elements.
-
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...
-
TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories
A self-described non-research thesis summarizing nine papers, with new conjectures on TRAP-based Feynman rules and accelero-summation of asymptotically free theories.
Discussion (0). Continue with ORCID to comment.