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Conformal field theory overview
·
Module 8
The Modern Conformal Bootstrap
1
Conformal Partial Wave Expansion for Four-Point Functions
Express four-point functions in d>2 in terms of a conformal partial wave expansion.
2
Bootstrap Equations: Crossing Symmetry and Unitarity
Apply crossing symmetry and unitarity constraints to derive the fundamental bootstrap equations.
3
Unitarity and Operator Dimensions
Explain how unitarity constrains the spectrum of operator dimensions.
4
Conformal Bootstrap: Numerical Optimization for CFT Data
Formulate the conformal bootstrap as a numerical optimization problem to find bounds on CFT data.
5
Interpreting CFT Exclusion Plots
Interpret exclusion plots for CFT data (dimensions and OPE coefficients) generated by numerical bootstrap methods.
6
Numerical Bootstrap Results for 3D Ising and O(N) Models
Describe the key results of the numerical bootstrap for the 3D Ising and O(N) models.
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Superconformal Field Theory (SCFT)
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Holography and the AdS/CFT Correspondence