Conformality and self-duality of $N_f=2$ QED$_3$

Understand

We study the IR phase of three dimensional quantum electrodynamics (QED$_3$) coupled to $N_f=2$ flavors of two-component Dirac fermions, which has been controversial for decades.

• This theory has been proposed to be self-dual with symmetry enhancement $(SU(2)_f\times U(1)_t )/\mathbb{Z}_2\rightarrow O(4)$ at the IR fixed point.
• We focus on the four-point correlator of monopole operators with unit topological charge of $U(1)_t$.
• We illustrate the $O(4)\rightarrow SU(2)_f\times U(1)_t $ branching rules based on an $O(4)$ symmetric positive structure in the monopole four-point crossing equations.