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Conformal field theory overview
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Module 7
Superconformal Field Theory (SCFT)
1
Supersymmetry: Supercharges and Supermultiplets
Define supercharges as operators and construct basic on-shell supersymmetry representations (supermultiplets).
2
2D N=1 Superconformal Algebra: NS and R Sectors
Construct the superconformal algebra in 2D (N=1) and its Neveu-Schwarz (NS) and Ramond (R) sectors.
3
Superconformal Algebra in 4D, N=1: Construction and Subalgebras
Construct the superconformal algebra in 4D (N=1) and identify its key subalgebras.
4
BPS Bounds and Representation Shortening in SCFTs
Define the BPS bound and the principle of representation shortening in superconformal theories.
5
Shortening Conditions and BPS Operators in SCFTs
Identify BPS operators in simple SCFTs by applying shortening conditions.
6
Spectral Flow in 2D SCFTs
Describe spectral flow in 2D SCFTs as an automorphism of the algebra that relates the NS and R sectors.
Previous module
Current Algebras and WZW Models
Next module
The Modern Conformal Bootstrap