Results 1  10
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48
Operator product expansion of higher rank Wilson loops from Dbranes and matrix models,” JHEP 0610
, 2006
"... In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N = 4 super YangMills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and Dbranes with electric ..."
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Cited by 39 (8 self)
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In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N = 4 super YangMills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and Dbranes with electric fluxes in supergravity. We verify our results with a matrix model computation, finding
Lightcone Wilson loops and the string / gauge correspondence
 JHEP
, 2003
"... We investigate a Πshape Wilson loop in N = 4 super Yang–Mills theory, which lies partially at the lightcone, and consider an associated open superstring in AdS5 × S5. We discuss how this Wilson loop determines the anomalous dimensions of conformal operators with large Lorentz spin and present an e ..."
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Cited by 21 (2 self)
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We investigate a Πshape Wilson loop in N = 4 super Yang–Mills theory, which lies partially at the lightcone, and consider an associated open superstring in AdS5 × S5. We discuss how this Wilson loop determines the anomalous dimensions of conformal operators with large Lorentz spin and present an explicit calculation in perturbation theory to order λ. We find the minimal surface in the supergravity approximation, that reproduces the Gubser, Klebanov and Polyakov prediction for the anomalous dimensions at large λ = g2 YMN, and discuss its quantummechanical interpretation. E–mail:
Exact 1/4 BPS loop: Chiral primary correlator,” Phys
 Lett. B
, 2006
"... Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in N = 4 super YangMills theory by summing planar ladder diagrams. Leading loop corrections to the sum are shown to vanish. The correlation functions are also computed in the stro ..."
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Cited by 17 (6 self)
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Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in N = 4 super YangMills theory by summing planar ladder diagrams. Leading loop corrections to the sum are shown to vanish. The correlation functions are also computed in the strongcoupling limit by examining the supergravity dual of the looploop correlator. The strong coupling result is found to agree with the extrapolation of the planar ladders. The result is related to known correlators of 1/2 BPS Wilson loops and 1/2 BPS chiral primaries by a simple rescaling of the coupling constant, similar to an observation of Drukker, hepth/0605151, for the case of the 1/4 BPS loop vacuum expectation value. Recently, the study of the properties of highly symmetric states has provided considerable insight into the AdS/CFT correspondence. In the case of 1/2 BPS local chiral operators and 1/2 BPS Wilson loops of N = 4 supersymmetric YangMills theory, their correspondence with 1/2 BPS gravitons and fundamental string worldsheets has been generalized to large operators where a beautiful picture of giant gravitons [1][2], giant Wilson loops [4][15] and bubbling geometries [16] has emerged. These relate infinite classes of highly symmetric protected operators in YangMills theory to their dual geometries which solve IIB supergravity. In the case of 1/2 BPS Wilson loops, an essential component of the bubbling loop picture is the ability to compute the loop expectation value and correlators of the loop with chiral primary operators in YangMills theory by summing planar diagrams [17][21],[11]. To point, for example, it is this sum, in the form of a
Matching the circular Wilson loop with dual open string solution at 1loop in strong coupling
, 2008
"... ..."
Superprotected npoint correlation functions
, 901
"... of local operators in N = 4 super YangMills ..."
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Supersymmetric Wilson loops on S³
 PHYS. J. C22
, 2007
"... This paper studies in great detail a family of supersymmetric Wilson loop operators in N = 4 supersymmetric YangMills theory we have recently found. For a generic curve on an S³ in spacetime the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 superch ..."
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Cited by 8 (3 self)
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This paper studies in great detail a family of supersymmetric Wilson loop operators in N = 4 supersymmetric YangMills theory we have recently found. For a generic curve on an S³ in spacetime the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudoholomorphic with respect to a novel almost complex structure we construct on AdS4 × S². We then discuss loops restricted to S² and provide evidence that they can be calculated in terms
Wilson Loops in Superconformal ChernSimons Theory and Fundamental
 Strings in Antide Sitter Supergravity Dual,” arXiv:0809.3786 [hepth]. 30 D. Berenstein and D. Trancanelli, “Threedimensional N=6 SCFT’s and their membrane dynamics,” arXiv:0808.2503 [hepth
"... We study Wilson loop operators in threedimensional,N = 6 superconformal ChernSimons theory dual to IIA superstring theory on AdS4 ×CP 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 ..."
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Cited by 6 (0 self)
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We study Wilson loop operators in threedimensional,N = 6 superconformal ChernSimons theory dual to IIA superstring theory on AdS4 ×CP 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 timereversal 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 timereversal transformations in both D2brane 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 inN = 4 super YangMills 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 ofN = 4 super YangMills theory. Combining these results, we propose that expectation value of circular
hepth/0606073 Two Circular Wilson Loops and Marginal Deformations
, 2006
"... We study type IIB supergravity backgrounds which are dual to marginal deformations of N = 4 super YangMills theory. We reexamine two circular Wilson loops and describe how The solutiongenerating technique [1] provides a new gravity solution which is dual to marginally deformed field theories. The ..."
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Cited by 3 (0 self)
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We study type IIB supergravity backgrounds which are dual to marginal deformations of N = 4 super YangMills theory. We reexamine two circular Wilson loops and describe how The solutiongenerating technique [1] provides a new gravity solution which is dual to marginally deformed field theories. The deformed solution preserves N = 1 supersymmetry as long as the direction corresponding to U(1)R Rsymmetry is not involved in this procedure. This method can be also used to find the gravity dual of deformed Coulomb branch RG