Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/09/031
Keywords
Duality in Gauge Field Theories; Supersymmetric gauge theory; AdS-CFT Correspondence
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Funding
- STFC [ST/G000395/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000395/1] Funding Source: researchfish
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We study Wilson-'t Hooft loop operators in a class of N = 2 superconformal field theories recently introduced by Gaiotto. In the case that the gauge group is a product of SU(2) groups, we classify all possible loop operators in terms of their electric and magnetic charges subject to the Dirac quantization condition. We then show that this precisely matches Dehn's classification of homotopy classes of non-self-intersecting curves on an associated Riemann surface - the same surface which characterizes the gauge theory. Our analysis provides an explicit prediction for the action of S-duality on loop operators in these theories which we check against the known duality transformation in several examples.
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