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Conformal field theory overview
·
Module 10
Application: Bosonic String Theory
1
Polyakov Action & Conformal Gauge
Analyze the Polyakov action and fix the conformal gauge to describe the string worldsheet as a 2D CFT.
2
Worldsheet CFT and Critical Dimension of Bosonic String
Identify the worldsheet CFT for the bosonic string and derive the critical dimension from Virasoro constraints.
3
Vertex Operators and the State-Operator Correspondence
Construct vertex operators for string states using the state-operator correspondence.
4
BRST Quantization of Bosonic String Theory
Quantize the bosonic string using the bc-ghost system and define physical states via BRST cohomology.
5
String Scattering Amplitudes from CFT Correlation Functions
Compute a tree-level string scattering amplitude by evaluating a CFT correlation function of vertex operators.
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