3 papers
hep-th2025
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…
hep-th2025
Pinching rules in the chiral-splitting description of one-loop string amplitudes
Filippo Maria Balli, Alex Edison, Oliver Schlotterer
Loop amplitudes in string theories reduce to those of gauge theories and (super)gravity in their worldline description as the inverse string tension tends to zero. The appear…
hep-th2025
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…