36 citations · 193 across the 13 of their papers we have counts for
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hep-th2019★ 3 cited
Modular Orbits at Higher Genus
Daniel Robbins, Thomas Vandermeulen
We extend the modular orbits method of constructing a two-dimensional orbifold conformal field theory to higher genus Riemann surfaces. We find that partition functions on surfaces…
hep-th2019★ 14 cited
Orbifolds from Modular Orbits
Daniel Robbins, Thomas Vandermeulen
Given a two-dimensional conformal field theory with a global symmetry, we propose a method to implement an orbifold construction by taking orbits of the modular group. For the case…
hep-th2019
The Genus Two Free Boson in Arakelov Geometry
Thomas Vandermeulen
Using Arakelov geometry, we compute the partition function of the noncompact free boson at genus two. We begin by compiling a list of modular invariants which appear in the Arakelo…