Flows between Dualities for 3d Chern-Simons Theories

TL;DR

This paper explores duality flows in 3d N=2 Chern-Simons theories, extending known dualities to more general cases with various matter masses and connecting different duality proposals.

Contribution

It generalizes the derivation of Aharony duality from Giveon-Kutasov duality to theories with diverse matter mass configurations and links multiple Coulomb branch dualities.

Findings

Derived new examples of Aharony dualities with varied matter masses.

Connected Aharony dualities with Giveon-Kutasov-Niarchos dualities for theories with adjoint fields.

Extended duality relations to theories with multiple Coulomb branches.

Abstract

We study Seiberg-like dualities for 3d N=2 theories with flavors in fundamental and adjoint representations. The recent results of Intriligator and Seiberg provide a derivation of an Aharony duality from a Giveon-Kutasov duality. We extend their result to the case of more general theories involving various masses for fundamental quarks and adjoint fields. By fine tuning the vev of a scalar field and using various identifications between gauge groups and their singlet duals, we derive several examples of Aharony dualities. For theories with an adjoint field, we discuss the connection between the Aharony dualities proposed by Kim and Park for theories with multiple Coulomb branches and Giveon-Kutasov-Niarchos dualities.