Intersecting surface defects and instanton partition functions

Abstract

Abstract We analyze intersecting surface defects inserted in interacting four-dimensional N = 2 $$ \mathcal{N}=2 $$ supersymmetric quantum field theories. We employ the realization of a class of such systems as the infrared fixed points of renormalization group flows from larger theories, triggered by perturbed Seiberg-Witten monopole-like configurations, to compute their partition functions. These results are cast into the form of a partition function of 4d/2d/0d coupled systems. Our computations provide concrete expressions for the instanton partition function in the presence of intersecting defects and we study the corresponding ADHM model.

Keywords

• Extended Supersymmetry
• Nonperturbative Effects
• Solitons Monopoles and Instantons
• Supersymmetric Gauge Theory