Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2015)017
Keywords
Extended Supersymmetry; Conformal and W Symmetry; Field Theories in Higher Dimensions; Conformal Field Models in String Theory
Categories
Funding
- NSF [PHY-1314311]
- Simons Foundation
- Solomon Guggenheim Foundation
- National Science Foundation [NSF PHY11-25915]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1316617] Funding Source: National Science Foundation
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Six-dimensional conformal field theories with (2, 0) supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to a (2, 0) theory labelled by the simply-laced Lie algebra g is precisely the W algebra of type g, for a specific value of the central charge. Simple examples of observables that are made accessible by this correspondence are the three-point functions of half-BPS operators. For the A(n) series, we compare our results at large n to those obtained using the holographic dual description and find perfect agreement. We further find protected chiral algebras that appear on the worldvolumes of codimension two defects in (2, 0) SCFTs. This construction has likely implications for understanding the microscopic origin of the AGT correspondence.
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