2016/05/12 by Clay Cordova, Clay Córdova, Daniel L. Jafferis
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Compactification (mathematics) #Conformal field theory #Conformal map #Connection (principal bundle) #Field (mathematics) #Field theory (psychology) #Geometry #Integrable system #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Theoretical physics #Toda lattice #hep-th
paper · pdf · doi:10.1007/jhep12(2017)106
40 pages, 2 figures
arxiv created 2016/05/12 · openalex publication_date 2017/12/01 · arxiv updated 2018/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We describe a compactification of the six-dimensional (2,0) theory on a foursphere which gives rise to a two-dimensional Toda theory at long distances. This construction realizes chiral Toda fields as edge modes trapped near the poles of the sphere. We relate our setup to compactifications of the (2,0) theory on the five and six-sphere. In this way, we explain a connection between half-BPS operators of the (2,0) theory and twodimensional W-algebras, and derive an equality between their conformal anomalies. As we explain, all such relationships between the six-dimensional (2,0) theory and Toda field theory can be interpreted as statements about the edge modes of complex Chern-Simons on various three-manifolds with boundary.