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Conformal field theory overview
·
Module 4
Two-Dimensional Conformal Field Theory
1
Holomorphic Factorization and 2D Conformal Symmetry
Explain the origin of infinite-dimensional conformal symmetry in 2D via holomorphic factorization.
2
The Virasoro Algebra and Central Charge
Construct the Virasoro algebra as the central extension of the 2D conformal algebra and interpret the central charge.
3
Virasoro Algebra and Verma Modules
Construct Verma modules as highest-weight representations of the Virasoro algebra.
4
Kac Determinant and Verma Module Null Vectors
Identify null vectors in Verma modules using the Kac determinant formula.
5
Unitary Minimal Models: Central Charge, Operator Content, and the Kac Table
Classify unitary minimal models based on their central charge and operator content using the Kac table.
6
Deriving Correlation Function Differential Equations from Null State Conditions
Apply null state conditions to derive differential equations for correlation functions.
Previous module
CFT, Critical Phenomena, and the Renormalization Group
Next module
Computational Methods in 2D CFT