Deriving N=2 S-dualities from Scaling for Product Gauge Groups

TL;DR

This paper derives S-dualities in N=2 supersymmetric theories with product gauge groups by embedding them into higher rank asymptotically free theories, linking dualities to geometric embeddings in the Coulomb branch.

Contribution

It introduces a novel geometric method to derive S-dualities for product gauge group theories from their embedding in higher rank theories.

Findings

S-dualities are obtained from geometric embeddings.

Duality transformations follow from Coulomb branch geometry.

Method applies to scale invariant N=2 theories with product gauge groups.

Abstract

S-dualities in scale invariant N=2 supersymmetric field theories with product gauge groups are derived by embedding those theories in asymptotically free theories with higher rank gauge groups. S-duality transformations on the couplings of the scale invariant theory follow from the geometry of the embedding of the scale invariant theory in the Coulomb branch of the asymptotically free theory.