Snapshots of Conformal Field Theory
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.
Keywords
Cite
@article{arxiv.1404.3108,
title = {Snapshots of Conformal Field Theory},
author = {Katrin Wendland},
journal= {arXiv preprint arXiv:1404.3108},
year = {2020}
}
Comments
43 pages; contribution to "Mathematical Aspects of Quantum Field Theories", Mathematical Physics Studies, Springer; v2: typos corrected, references added and updated