Deformations of surface defect moduli spaces

Given a 4d N = 2 superconformal theory with an N = (2, 2) superconformal surface defect, a marginal perturbation of the bulk theory induces a complex structure deformation of the defect moduli space. We describe a concrete way of computing this deformation using the bulk-defect OPE.

Automated summary

In a 4d N = 2 superconformal theory with an N = (2, 2) superconformal surface defect, a marginal perturbation of the bulk theory induces a complex structure deformation of the defect moduli space. This deformation can be computed using the bulk-defect OPE.