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Conformal field theory overview
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Module 3
CFT, Critical Phenomena, and the Renormalization Group
1
Scale Invariance and Conformal Symmetry in Critical Systems
Relate scale invariance at critical points in statistical systems to the emergence of conformal symmetry.
2
Critical Exponents and CFT Scaling Dimensions
Identify critical exponents with the scaling dimensions of operators in the corresponding CFT.
3
CFTs and RG Flow
Describe the renormalization group (RG) flow between CFTs in the space of theories.
4
Classifying Operators in RG Flow
Classify operators as relevant, irrelevant, or marginal based on their scaling dimensions and their effect on RG flow.
5
Universality Classes and CFT Classification
Describe the principle of universality classes and their classification by CFTs.
6
Ising Model and 2D CFT Fixed Points
Analyze the critical Ising model as a fixed point of the RG flow described by a specific 2D CFT.
Previous module
Consequences of Conformal Invariance
Next module
Two-Dimensional Conformal Field Theory