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Aspects of Conformal Field Theory
Pietro A. Grassi - Università del Piemonte Orientale
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The course will focus on aspects of two-dimensional conformal field theory |
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The plan of the course is (time permitting):
Conformal group in d dimensions. Conformal Invariance in Classical Field Theory and in Quantum Field Theory
Conformal group in 2d. Correlation Functions. Ward Identities.
Free Field and Operator Product Expansion (Bosonic Scalar)
Fermions, bc-systems, Central Charge and Anomalies
Global Conformal Invariance, PSL(2,C)
Operator Formalism, Virasoro Algebra, Verma Modules
Free Boson and Free Fermion, Normal Ordering
Operator Algebra and Conformal Blocks
String Theory Application: BRST symmetry
Vertex Operators and Correlation Functions
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Bibliography:
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Springer Verlag
J. Polchinski, String Theory Vol I, Cambridge University Press
R. Blumenhagen and E. Plauschinn, Introduction to Conformal Field Theory, Springer Verlag
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