Results 1  10
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47
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
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
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Notes on Euclidean Wilson loops and Riemann Theta functions,” Phys
 Rev. D
"... The AdS/CFT correspondence relates Wilson loops inN = 4 SYM theory to minimal area surfaces in AdS5 space. In this paper we consider the case of Euclidean flat Wilson loops which are related to minimal area surfaces in Euclidean AdS3 space. Using known mathematical results for such minimal area su ..."
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Cited by 12 (2 self)
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The AdS/CFT correspondence relates Wilson loops inN = 4 SYM theory to minimal area surfaces in AdS5 space. In this paper we consider the case of Euclidean flat Wilson loops which are related to minimal area surfaces in Euclidean AdS3 space. Using known mathematical results for such minimal area surfaces we describe an infinite parameter family of analytic solutions for closed Wilson loops. The solutions are given in terms of Riemann theta functions and the validity of the equations of motion is proven based on the trisecant identity. The worldsheet has the topology of a disk and the renormalized area is written as a finite, onedimensional contour integral over the worldsheet boundary. An example is discussed in detail with plots of the corresponding surfaces. Further, for each Wilson loops we explicitly construct a one parameter family of deformations that preserve the area. The parameter is the so called spectral parameter. Finally, for genus three we find a map between these Wilson loops and closed curves inside the Riemann surface.
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
The NonAbelian Exponentiation theorem for multiple Wilson lines
, 2013
"... We study the structure of soft gluon corrections to multileg scattering amplitudes in a nonAbelian gauge theory by analysing the corresponding product of semiinfinite Wilson lines. We prove that diagrams exponentiate such that the colour factors in the exponent are fully connected. This completes ..."
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Cited by 8 (4 self)
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We study the structure of soft gluon corrections to multileg scattering amplitudes in a nonAbelian gauge theory by analysing the corresponding product of semiinfinite Wilson lines. We prove that diagrams exponentiate such that the colour factors in the exponent are fully connected. This completes the generalisation of the nonAbelian exponentiation theorem, previously proven in the case of a Wilson loop, to the case of multiple Wilson lines in arbitrary representations of the colour group. Our proof is based on the replica trick in conjunction with a new formalism where multiple emissions from a Wilson line are described by effective vertices, each having a connected colour factor. The exponent consists of connected graphs made out of these vertices. We show that this readily provides a general colour basis for webs. We further discuss the kinematic combinations that accompany each connected colour factor, and explicitly catalogue all threeloop examples, as necessary for a direct computation of the soft anomalous dimension at this order.
Correlation function of circular Wilson loops at strong coupling
, 2013
"... We study the correlation function of two circular Wilson loops at strong coupling in N = 4 super YangMills theory. Using the AdS/CFT correspondence, the problem maps to finding the minimal surface between two circles defined on the boundary of AdS, and the fluctuations around the classical solution ..."
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Cited by 5 (0 self)
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We study the correlation function of two circular Wilson loops at strong coupling in N = 4 super YangMills theory. Using the AdS/CFT correspondence, the problem maps to finding the minimal surface between two circles defined on the boundary of AdS, and the fluctuations around the classical solution in AdS5×S5. At the classical level, we derive the string solution in H3×S1 explicitly, and focus on properties such as stability and phase transition. Furthermore, a computation of the associated algebraic curve is given. At the quantum level, the oneloop partition function is constructed by introducing quadratic bosonic and fermionic fluctuations around the classical solution, embedded in AdS5 × S5. We find an analytic, formal expression for the partition function in terms of an infinite product by employing the Gel’fandYaglom method and supersymmetric regularization. We regulate the expression and evaluate the partition function numerically.
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
Quantisation of the effective string with TBA
, 2013
"... In presence of a static pair of sources, the spectrum of lowlying states of whatever confining gauge theory in D spacetime dimensions is described, at large source separations, by an effective string theory. In the far infrared the latter flows, in the static gauge, to a twodimensional massless ..."
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Cited by 1 (0 self)
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In presence of a static pair of sources, the spectrum of lowlying states of whatever confining gauge theory in D spacetime dimensions is described, at large source separations, by an effective string theory. In the far infrared the latter flows, in the static gauge, to a twodimensional massless freefield theory. It is known that the Lorentz invariance of the gauge theory fixes uniquely the first few subleading corrections of this freefield limit. We point out that the first allowed correction a quartic polynomial in the field derivatives is exactly the composite field T T ̄ , built with the chiral components, T and T ̄, of the energymomentum tensor. This irrelevant perturbation is quantum integrable and yields, through the thermodynamic Bethe Ansatz (TBA), the energy levels of the string which exactly coincide with the NambuGoto spectrum. We obtain this way the results recently found by Dubovsky, Flauger and Gorbenko. This procedure easily generalizes to any twodimensional CFT. It is known that the leading deviation of the NambuGoto spectrum comes from the boundary terms of the string action. We solve the TBA equations on an infinite strip, identify the relevant boundary parameter and verify that it modifies the string spectrum as expected.
On shape dependence of holographic mutual information in AdS4
, 2014
"... We study the holographic mutual information in AdS4 of disjoint spatial domains in the boundary which are delimited by smooth closed curves. A numerical method which approximates a local minimum of the area functional through triangulated surfaces is employed. After some checks of the method against ..."
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We study the holographic mutual information in AdS4 of disjoint spatial domains in the boundary which are delimited by smooth closed curves. A numerical method which approximates a local minimum of the area functional through triangulated surfaces is employed. After some checks of the method against existing analytic results for the holographic entanglement entropy, we compute the holographic mutual information of equal domains delimited by ellipses, superellipses or the boundaries of two dimensional spherocylinders, finding also the corresponding transition curves along which the holographic mutual information vanishes.