A-D-E Classification of Conformal Field Theories

2009/11/17 by Andrea Cappelli, Cappelli, Andrea, Jean-Bernard Zuber +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0911.3242

19 pages, 4 figures, 4 tables; review article to appear in Scholarpedia, http://www.scholarpedia.org/

arxiv created 2009/11/17 · arxiv updated 2009/12/01

Abstract

The ADE classification scheme is encountered in many areas of mathematics, most notably in the study of Lie algebras. Here such a scheme is shown to describe families of two-dimensional conformal field theories.

Cited by

• Generalised 4d Partition Functions and Modular Differential Equations
• ADE triality via (non-)invertible symmetry gauging

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