Abstract
We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons and superpotential interactions. We propose an infrared SU(N) ↔ U(k) duality involving gauge-singlet fields on one of the two sides. It shares qualitative features both with 3d bosonization and with 4d Seiberg duality. We provide a few consistency checks of the proposal, mapping the structure of vacua and performing perturbative computations in the ε-expansion.
Highlights
Let us mention that there might be experimental realizations of (2+1)-dimensional systems with low amount of supersymmetry. This is due to the phenomenon of emergent supersymmetry [41,42,43,44,45,46,47]
We expect critical scalars to be paired with critical fermions, and regular fermions to be paired with regular scalars
A supersymmetric U(Nc) or SU(Nc) gauge theory with a matter multiplet Φ in the fundamental representation does not admit interactions of the form φ4: the generic superpotential W = |Φ|4 leads to interactions of the form φ6 + φ2ψψ, so we have regular matter
Summary
Since the gaugino is a free fermion with negative mass, it can be integrated out and we get U(1) CS. There is a vacuum at q = 0 where Q has mass −|m| Integrating it out, we get N = 1 U(1)0 SYM, i.e. a free massless fermion λ and an S1 free compact boson. We see that H mixes with the radial part of P around its VEV, giving two modes of opposite mass ±2 |m|. When we integrate them out we are left with −2CSg. We see that the various phases perfectly match, including the counterterms for background fields
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
