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Conformal field theory overview
·
Module 1
Foundations of Conformal Symmetry
1
Conformal Algebra from Angle Preservation
Identify the conformal algebra in d dimensions from the requirement of preserving angles.
2
Conformal Transformations: Types and Classification
Classify finite conformal transformations: translations, rotations, dilatations, and special conformal transformations.
3
Conformal Group: Construction and Relation to Poincaré Group
Construct the conformal group as SO(d+1,1) and describe its relation to the Poincaré group.
4
Conformal Primary Operators and Descendants
Define primary operators and their descendants in terms of their transformation properties under the conformal algebra.
5
Conformal Transformations on Operators
Compute the action of conformal generators on primary and descendant operators.
6
Radial Quantization and the State-Operator Correspondence
Establish the state-operator correspondence using radial quantization.
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Consequences of Conformal Invariance