SO(5) critical point in a spin-flavor Kondo device: Bosonization and refermionization solution

We investigate a well studied system of quantum dot coupled to Coulomb box and leads, realizing spin-flavor Kondo model. It exhibits recently discovered non-Fermi liquid (NFL) behavior with emergent SO(5) symmetry. Here, through detailed bosonization refermionization solution, we push forward our previous work provide consistent complete description the various exotic properties phase diagram. A unique NFL emerges from presence an uncoupled Majorana fermion flavor sector, whereas FL-like susceptibilities result gapping out pair Majroana fermions spin sectors. Other properties, such as $T^{3/2}$ scaling conductance, stability under channel or symmetry breaking re-appearance upon particle-hole symmetry, are all accounted for by renormalization group treatment refermionized