Studying 3D CFTs with the Fuzzy Sphere: Chern-Simons-Matter Theories and Fermionic CFTs - Zheng Zhou
From Institute for Advanced Study
This talk surveys progress in studying three-dimensional conformal field theories on the fuzzy sphere, focusing on (i) Chern–Simons–matter theories and (ii) fermionic CFTs, including how gauging, critical behavior, and conformal windows arise in these systems and the role of topological terms in shaping their infrared dynamics.
Key Takeaways
- Fuzzy sphere framing lets 3D conformal theories reveal IR fixed points with tiny system sizes, enabling precision checks beyond usual lattice limits.
- Translational matter theories unlock dualities: distinct Lagrangians flow to identical IR fixed points, like a symmetry-rich matchmaking service.
- Conformal window questions persist in 3D: flavor counts dictating conformality resist bootstrap and standard monolithic analysis.
- Dualities hinge on symmetry matching and operator content; conjectures survive on global symmetry and counterterm consistency, not proof alone.
- Monopole-backed quantum Hall-like settings on S^2 expose conformal behavior and phase transitions inaccessible in flat-space approaches.
Mentioned in this episode
- 3D conformal field theories (Concept)
- fuzzy sphere (Concept)
- CFT (Concept)
- U1 level two (Concept)
- transimons matter theories (Concept)
- super easing theory (Concept)
- U1 gauge field (Concept)
- SU2 QCD (Concept)
- SO5 (Concept)
- Madana firmian (Concept)
- QED (Concept)
- fractional quantum core systems (Concept)