Interface entropy in four dimensions as Calabi’s diastasis on the conformal manifold

Abstract

We conjecture an equality between (1) the entropy associated with a Janus interface in a 4d N = 2 superconformal field theory and (2) Calabi’s diastasis, a particular combination of analytically continued Kähler potentials, on the conformal manifold (moduli space) of the 4d theory.