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Chiral algebras of class S

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arxiv 1408.6522 v2 pith:TB2ADHNQ submitted 2014-08-27 hep-th math.QAmath.RT

classification hep-thmath.QAmath.RT
keywords algebraschiralclassfieldstructuretheoriesariseassociated
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Four-dimensional N=2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in the context of theories of class S. The class S duality web implies nontrivial associativity properties for the corresponding chiral algebras, the structure of which is best summarized in the language of generalized topological quantum field theory. We make a number of conjectures regarding the chiral algebras associated to various strongly coupled fixed points.

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