Chern Simons duality with a fundamental boson and fermion

TL;DR

This paper computes the thermal free energy of Chern-Simons theories with fundamental bosons and fermions, proposing a duality that unifies known supersymmetric and bosonization dualities, hinting at a broader strong-weak coupling correspondence.

Contribution

It introduces a conjectured strong-weak coupling duality for Chern-Simons theories with fundamental matter, connecting supersymmetric dualities and bosonization in a unified framework.

Findings

Derived the thermal free energy for the theories in the large N limit.

Proposed a duality reducing to known supersymmetric and bosonization dualities.

Suggested the duality holds at finite N as a deformation of established dualities.

Abstract

We compute the thermal free energy for all renormalizable Chern Simon theories coupled to a single fundamental bosonic and fermionic field in the 't Hooft large N limit. We use our results to conjecture a strong weak coupling duality invariance for this class of theories. Our conjectured duality reduces to Giveon Kutasov duality when restricted to {\cal N}=2 supersymmetric theories and to an earlier conjectured bosonization duality in an appropriate decoupling limit. Consequently the bosonization duality may be regarded as a deformation of Giveon Kutasov duality, suggesting that it is true even at large but finite N.