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Toda theory from six dimensions

By Clay Córdova and Daniel L. Jafferis


Abstract 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

Topics: Effective Field Theories, Field Theories in Higher Dimensions, Supersymmetric Gauge Theory, Topological Field Theories, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
Publisher: SpringerOpen
Year: 2017
DOI identifier: 10.1007/JHEP12(2017)106
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