42 citations · 199 across the 15 of their papers we have counts for
8 papers · 1 filter
Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
Multiple polylogarithms are equipped with rich algebraic structures including the motivic coaction and the single-valued map which both found fruitful applications in high-energy p…
Non-holomorphic modular forms from zeta generators
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
We study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL known as equivariant iterated Eisenstein integrals. A specia…
Motivic coaction and single-valued map of polylogarithms from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, t…
Cyclic products of higher-genus Szegö kernels, modular tensors and polylogarithms
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
A wealth of information on multiloop string amplitudes is encoded in fermionic two-point functions known as Szegö kernels. In this paper we show that cyclic products of any number…
Constructing polylogarithms on higher-genus Riemann surfaces
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
An explicit construction is presented of homotopy-invariant iterated integrals on a Riemann surface of arbitrary genus in terms of a flat connection valued in a freely generated Li…
Cyclic products of Szegö kernels and spin structure sums I: hyper-elliptic formulation
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
The summation over spin structures, which is required to implement the GSO projection in the RNS formulation of superstring theories, often presents a significant impediment to the…
Modular graph forms from equivariant iterated Eisenstein integrals
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differe…
Elliptic modular graph forms II: Iterated integrals
Martijn Hidding, Oliver Schlotterer, Bram Verbeek
Elliptic modular graph forms (eMGFs) are non-holomorphic modular forms depending on a modular parameter of a torus and marked points thereon. Traditionally, eMGFs are const…