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String Theory and Particle Physics by Angel M. Uranga, Luis E. Ibáñez

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Appendix E

CFT toolkit

In this appendix we provide some background material on 2d conformal and superconformal field theory (CFT and SCFT, respectively). We merely state the main results, giving up a complete logical flow at certain points in favor of easy reference from the main text.

E.1 Conformal symmetry and conformal fields

We trade the left and right coordinates t ± σ for holomorphic and antiholomorphic coordinates . In this picture, time runs radially so hamiltonian quantization is called radial quantization, and the hamiltonian relates to the dilatation operator, and thus to the behavior of fields under conformal transformations. Eventually ...

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