Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2015)066
Keywords
Supersymmetry and Duality; Wilson; ' t Hooft and Polyakov loops; Extended Supersymmetry
Categories
Funding
- EPSRC [EP/J019518/1] Funding Source: UKRI
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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.
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