We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS circle, belong to this class, but we point out many more special cases which were not known before and could provide further tests of the AdS/CFT correspondence.
Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory / Drukker, Nadav; Giombi, Simone; Ricci, Riccardo; Trancanelli, Diego. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 77:4(2008), pp. N/A-N/A. [10.1103/PhysRevD.77.047901]
Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory
Trancanelli, Diego
2008
Abstract
We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS circle, belong to this class, but we point out many more special cases which were not known before and could provide further tests of the AdS/CFT correspondence.
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