New S-dualities in N=2 supersymmetric SU(2) x SU(2) gauge theory

TL;DR

This paper uncovers new S-dualities in an N=2 supersymmetric SU(2) x SU(2) gauge theory by embedding it into larger theories, revealing a richer duality structure and a more complex coupling space topology.

Contribution

It derives novel S-dualities for the N=2 SU(2) x SU(2) gauge theory from embeddings in larger theories, expanding understanding of its duality group and coupling space topology.

Findings

Identifies a 20-fold identification of the coupling space.

Reveals a larger S-duality group than previously known.

Shows the coupling space has a different topology of fixed points.

Abstract

New S-dualities in a scale invariant N=2 gauge theory with SU(2) x SU(2) gauge group are derived from embeddings of the theory in two different larger asymptotically free theories. The true coupling space of the scale invariant theory is a 20-fold identification of the coupling space found in the M- and string-theory derivations of the low energy effective action, implying a larger S-duality group. Also, this coupling space is different from the naively expected direct product of two SL(2,Z) fundamental domains, as it contains a different topology of fixed points.