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LACES 2021 Lezioni Avanzate di Campi E Stringhe Galileo Galilei Institute for Theoretical Physics, Arcetri Italy November, 29th - December, 17th |
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Conformal Field Theory and Defects Chris Herzog - King's College London |
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Syllabus 1) Extending Poincaré to conformal symmetry 2) Constraints of conformal symmetry on correlation functions 3) Conformal symmetry and curved space 4) The Operator Product Expansion (OPE) and conformal blocks 5) The Conformal bootstrap 6) The Trace anomaly 7) Examples with interactions -- phi-four field theory and mixed dimensional QED References The lectures were grown from a skeleton that did not include a discussion of boundaries and defects. The structure is based on L. F. Alday, ``Conformal Field Theory'', class notes from a set of lectures delivered at Oxford University Two further non-boundary/non-defect CFT references: S. Rychkov, ``EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions,'' arXiv:1601.05000 [hep-th] D. Simmons-Duffin, ``TASI Lectures on the Conformal Bootstrap,'' arXiv:1602.07982 [hep-th] Boundary/Defect References: There are two classic boundary papers by McAvity and Osborn: "Conformal field theories near a boundary in general dimensions," arXiv:cond-mat/9505127 "Energy momentum tensor in conformal field theories near a boundary," arXiv:hep-th/9302068 Here is a classic defect reference: M. Billo, V. Goncalves, E. Lauria, and M. Meineri, ``Defects in conformal field theory,'' arXiv:1601.02883 [hep-th] | ||
Course material | ||
Lecture notes | ||
Lecture 1 (online) | ||
Problems and answers: 1 , 2 , 3 , 4 , 5 , 6 | ||
Organisers: Alice Bernamonti Agnese Bissi Davide Cassani Carlo Maccaferri Noppadol Mekareeya |
Secretary: Annalisa Anichini Alessandra GentiliMauro Morandini Housing: Mirella Ridi Computer assistance: Alessio Attardi |
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