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Defect networks and supersymmetric loop operators
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DOI：10.1007/JHEP02(2015)066.png)
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摘要
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We consider topological defect networks with junctions in A(N) - 1 Toda CFT and the connection to supersymmetric loop operators in 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 that 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 N = 2* 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.
Keyword:
Supersymmetry and Duality
Wilson
' t Hooft and Polyakov loops
Extended Supersymmetry
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期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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Loop and surface operators in N=2 gauge theory and Liouville modular geometryN = 2规范理论和Liouville模块化几何中的循环和表面算子
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