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Snapshots of Conformal Field Theory

Katrin Wendland

in: Mathematical aspects of quantum field theories, 89-129, Math. Phys. Stud., Springer, Cham, 2015
43 pages; contribution to "Mathematical Aspects of Quantum Field Theories", Mathematical Physics Studies, Springer; v2: typos corrected, references added and updated

Abstract: In snapshots, this exposition introduces conformal field theory, with a focus on those perspectives that are relevant for interpreting superconformal field theory by Calabi-Yau geometry. It includes a detailed discussion of the elliptic genus as an invariant which certain superconformal field theories share with the Calabi-Yau manifolds. K3 theories are (re)viewed as prime examples of superconformal field theories where geometric interpretations are known. A final snapshot addresses the K3-related Mathieu Moonshine phenomena, where a lead role is predicted for the chiral de Rham complex.

Submitted to arXiv on 11 Apr. 2014