# Conformal field theory A conformal field theory (CFT) is a quantum field theory (QFT) whose stress tensor operator has a vanishing trace. Such a theory is also invariant under renormalisation group flow. This page is mainly meant as a book-keeping page for this big topic. ## Elements of a CFT - [[0028 Conformal symmetry]] - [[0029 Primary operator]] - [[0148 Conformal basis]] - [[0031 Conformal block]] - [[0020 Conformal partial wave decomposition]] - [[0193 Higher point function in CFT]] - [[0633 CFT correlators]] ## Special CFTs - [[0003 2D CFT]] - [[0634 3d CFT]] - [[0096 Rational CFT]] - [[0599 Minimal models]] ## Methods and tools - [[0036 Conformal bootstrap]] - [[0025 Operator-state correspondence]] ## Other related topics - [[0001 AdS-CFT]] - [[0010 Celestial holography]] - see also [[0041 CFT vs CCFT]] - [[0306 Weyl anomaly]] ## Complete information about a CFT Knowing the complete OPE (including all regular terms) between all [[0029 Primary operator|primary fields]] (with conformal weights $\Delta_i$ and spins $J_i$) is tantamount to knowing all the physical content of the CFT.