S-duality, boundary states, and higher-form symmetries on ALE spaces
We study Abelian S-duality of Maxwell theory on A-type asymptotically locally Euclidean (ALE) spaces. Unlike on closed four-manifolds, the Maxwell path integral on an ALE space is not naturally a scalar partition function. Rather, it decomposes into theta-function blocks labeled by flat U (1) holonomy sectors on the as...