9 papers
Meromorphic higher-genus integration kernels via convolution over homology cycles
Eric D'Hoker, Oliver Schlotterer
Polylogarithms on arbitrary higher-genus Riemann surfaces can be constructed from meromorphic integration kernels with at most simple poles, whose definition was given by Enriquez…
Fay identities for polylogarithms on higher-genus Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
A recent construction of polylogarithms on Riemann surfaces of arbitrary genus in arXiv:2306.08644 is based on a flat connection assembled from single-valued non-holomorphic integr…
Single-valued flat connections in several variables on arbitrary Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
Polylogarithms on Riemann surfaces may be constructed efficiently in terms of flat connections that can enjoy various algebraic and analytic properties. In this paper, we present a…
Relating flat connections and polylogarithms on higher genus Riemann surfaces
Eric D'Hoker, Benjamin Enriquez, Oliver Schlotterer +1
In this work, we relate two recent constructions that generalize classical (genus-zero) polylogarithms to higher-genus Riemann surfaces. A flat connection valued in a freely genera…
Worldsheet fermion correlators, modular tensors and higher genus integration kernels
Eric D'Hoker, Oliver Schlotterer
The cyclic product of an arbitrary number of Szegö kernels for even spin structure on a compact higher-genus Riemann surface may be decomposed via a descent procedure wh…
Exact solutions to complex Type IIB supergravity for complex superalgebra and its real forms
Eric D'Hoker, Michael Gutperle, Christoph F. Uhlemann
We construct the general local solutions to complexified Type IIB supergravity which are invariant under the complexified Lie superalgebra . The geometry is a product of comp…