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• W2952805426 abstract "We consider topological defect networks with junctions in $A_{N-1}$ Toda CFT and the connection to supersymmetric loop operators in $mathcal{N} = 2$ theories of class S on a four-sphere. Correlation functions in the presence of topological defect networks are computed by exploiting the monodromy of conformal blocks, generalising the notion of a Verlinde operator. Concentrating on a class of topological defects in $A_2$ Toda theory, we find that the Verlinde operators generate an algebra whose structure is determined by a set of generalised skein relations. These relations encode the representation theory of a quantum group. In the second half of the paper, we explore the dictionary between topological defect networks and supersymmetric loop operators in the $mathcal{N}=2^*$ star theory by comparing to exact localisation computations. In this context, the the generalised skein relations are related to the operator product expansion of loop operators." @default.
• W2952805426 created "2019-06-27" @default.
• W2952805426 creator A5000321382 @default.
• W2952805426 date "2013-12-17" @default.
• W2952805426 modified "2023-09-27" @default.
• W2952805426 title "Defect Networks and Supersymmetric Loop Operators" @default.
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• W2952805426 hasPublicationYear "2013" @default.
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