Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual

By S. Rey, T. Suyama, Satoshi Yamaguchi. 2008

172 citations recorded by the source corpus.

We study Wilson loop operators in three-dimensional, = 6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 ? 3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear combinations of Wilson loop transforming oppositely under time-reversal transformation. We show that one combination is holographically dual to IIA fundamental string, while orthogonal combination is set to zero. We gather supporting evidences from detailed comparative study of generalized time-reversal transformations in both D2-brane worldvolume and ABJM theories. We then classify supersymmetric Wilson loops and find at most 1/6 supersymmetry. We next study Wilson loop expectation value in planar perturbation theory. For circular Wilson loop, we find features remarkably parallel to circular Wilson loop in = 4 super Yang-Mills theory in four dimensions. First, all odd loop diagrams vanish identically and even loops contribute nontrivial contributions. Second, quantum corrected gauge and scalar propagators take the same form as those of = 4 super Yang-Mills theory. Combining these results, we propose that expectation value of circular Wilson loop is given by Wilson loop expectation value in pure Chern-Simons theory times zero-dimensional Gaussian matrix model whose variance is specified by an interpolating function of `t Hooft coupling. We suggest the function interpolates smoothly between weak and strong coupling regime, offering new test ground of the AdS/CFT correspondence.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b418b3e8864d6df1cb85a958c2b34bbeb804c4cd

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Citations in the corpus

Aspects of AdS/BCFT (2011, background): “See also [41, 47] for earlier discussions on the discrete symmetries.”
Exact results for Wilson loops in superconformal Chern-Simons theories with matter (2009, background): “This will provide a check of our calculation, as the Wilson loop we are interested in has already been studied perturbatively elsewhere [10, 11, 12].”
From Weak to Strong Coupling in ABJM Theory (2010, background): “Indeed, it was argued in [15,17] that the string description of the 1/6 BPS Wilson loop should be in terms of a string smeared over such a cycle.”
Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories (2011, unknown): “One can indeed show that both the vev of the 1/6 BPS Wilson loops of [34, 86, 23], as well as the vev of the 1/2 BPS Wilson loop of [35], can be computed as correlators in the matrix model (6.”
Exact results for the entanglement entropy and the energy radiated by a quark (2013, background): “1 ABJM For ABJM two kinds of circular loops are known [47, 48, 49, 50], they are 1/6 and 1/2 BPS respectively(7).”
Exact results in ABJM theory from topological strings (2009, methodology): “In [8, 10] it was argued that the the strong coupling behavior obtained in this way should apply to the symmetric Wilson loop W sym defined in (2.”