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Conformal field theory overview
·
Module 6
Current Algebras and WZW Models
1
Building Affine Lie Algebras: Loop Algebras to Central Extensions
Construct affine Lie algebras (Kac-Moody algebras) as central extensions of loop algebras.
2
Highest-Weight Representations of Affine Lie Algebras and the Level k
Define highest-weight representations of affine Lie algebras and the role of the level k.
3
WZW Model: Action, Equations of Motion, and Conserved Currents
Describe the Wess-Zumino-Witten (WZW) action and use it to derive the equations of motion and conserved currents.
4
Sugawara Construction and Central Charge Calculation
Relate the stress tensor to the currents via the Sugawara construction and compute the central charge.
5
WZW Model Primary Fields
Identify the primary fields of a WZW model with integrable representations of the underlying affine Lie algebra.
6
KZ Equations in WZW Models
State the Knizhnik-Zamolodchikov (KZ) equations for correlation functions in WZW models.
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Computational Methods in 2D CFT
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Superconformal Field Theory (SCFT)