Conformal field theories and compact curves in moduli spaces

Ron Donagi, David R. Morrison
2018 Journal of High Energy Physics  
We show that there are many compact subsets of the moduli space $M_g$ of Riemann surfaces of genus $g$ that do not intersect any symmetry locus. This has interesting implications for $\mathcal{N}=2$ supersymmetric conformal field theories in four dimensions.
doi:10.1007/jhep05(2018)021 fatcat:kv55me6webf4jewxwdjebxks2a