For topological insulator surfaces with two or three Dirac cones, attractive interactions create conformal manifolds of quantum critical fixed points (a ring and two 2-spheres) in the one-loop renormalization group flow.
At the one-loop level, it was conical in shape with the uni- versality class determined by the conformal ring mani- fold
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Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points
For topological insulator surfaces with two or three Dirac cones, attractive interactions create conformal manifolds of quantum critical fixed points (a ring and two 2-spheres) in the one-loop renormalization group flow.