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114
Multiply wound Polyakov loops at strong coupling,” arXiv:hepth/0603190
"... We study the expectation value of a PolyakovMaldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super YangMills theory. This is achieved by considering probe D3 and D5 brane embeddings in the dual black hole geometry. In contrast to multiply wound spatial Wilson loops, n ..."
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Cited by 58 (6 self)
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We study the expectation value of a PolyakovMaldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super YangMills theory. This is achieved by considering probe D3 and D5 brane embeddings in the dual black hole geometry. In contrast to multiply wound spatial Wilson loops, nontrivial dependence on k is captured through D5 branes. We find N −2/3 corrections, 1.1 Phase structure of N = 4 SYM theory The phase structure of N = 4 super YangMills (SYM) theory at large N on S 3 × S 1 is of interest from both gravitational and field theoretic perspectives. The AdS/CFT correspondence [1] places both the weak and strong coupling regimes of the theory
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
Computing Wilson lines with dielectric branes”, Nucl. Phys. B752
, 2006
"... Wilson lines in N = 4 SYM can be computed in terms of branes carrying electric flux, i.e. Fstrings dissolved in their worldvolumes. It is then natural to think that those configurations are the effective description of strings expanding due to dielectric effect to Dbranes. In this note we explicit ..."
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Cited by 20 (0 self)
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Wilson lines in N = 4 SYM can be computed in terms of branes carrying electric flux, i.e. Fstrings dissolved in their worldvolumes. It is then natural to think that those configurations are the effective description of strings expanding due to dielectric effect to Dbranes. In this note we explicitly show this for a class of such configurations, namely those dual to Wilson lines either in the symmetric or in the antisymmetric tensor product of fundamentals. 1 1
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
UVdivergences of Wilson Loops for Gauge/Gravity Duality
, 2008
"... We analyze the structure of the UV divergences of the Wilson loop for a general gauge/gravity duality. We find that, due to the presence of a nontrivial NSNS Bfield and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions ..."
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Cited by 15 (7 self)
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We analyze the structure of the UV divergences of the Wilson loop for a general gauge/gravity duality. We find that, due to the presence of a nontrivial NSNS Bfield and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions on the Bfield and the metric, which when satisfied, the leading UV divergence will become linear, and can be cancelled out by choosing the boundary condition of the string appropriately. Our results, together with the recent result of arXiv:0807.5127, where the effect of a nontrivial dilaton on the structure of UV divergences in Wilson loop is analysed, allow us to conclude that Legendre transform is at best capable of cancelling the linear UV divergences arising from the area of the worldsheet, but is incapable to handle the divergences associated with the dilaton or the Bfield in general. We also solve the conditions for the cancellation of the leading linear divergences generally and find that many wellknown supergravity backgrounds are of these kinds, including examples such as the SakaiSugimoto QCD model or N = 1 duality with SasakiEinstein spaces. We also point out that Wilson loop in the KlebanovStrassler background have a divergence associated with the Bfield which cannot be cancelled away with the Legendre transform. Finally we end with some comments on the form of the Wilson loop operator in the ABJM superconformal ChernSimons theory.
Semiclassical open string corrections and symmetric Wilson loops
 JHEP
, 2007
"... In the AdS/CFT correspondence, an AdS2 × S2 D3brane with electric flux in AdS5 × S5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N = 4 super YangMills theory. In order to distinguish the symmetric loop and the multiply wound loop, one s ..."
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Cited by 14 (0 self)
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In the AdS/CFT correspondence, an AdS2 × S2 D3brane with electric flux in AdS5 × S5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N = 4 super YangMills theory. In order to distinguish the symmetric loop and the multiply wound loop, one should see an exponentially small correction in large ’t Hooft coupling. We study semiclassically the disk open string attached to the D3brane. We obtain the exponent of the term and it agrees with the result of the matrix model calculation of the symmetric Wilson loop. 1 Introduction and summary Wilson loops are some of the most interesting nonlocal operators in YangMills theories. In particular the Wilson loops in N = 4 super YangMills theory have interesting string theory counterparts in the AdS/CFT correspondence [1]. The Wilson loop in the fundamental representation corresponds to a macroscopic fundamental string in
Anomalous dimensions from a spinning D5brane
 JHEP
, 2006
"... Abstract: We consider the anomalous dimension of a certain twist two operator in N = 4 super YangMills theory. At strong coupling and largeN it is captured by the classical dynamics of a spinning D5brane. The present calculation generalizes the result of Gubser, Klebanov and Polyakov (hepth/0204 ..."
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Cited by 11 (1 self)
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Abstract: We consider the anomalous dimension of a certain twist two operator in N = 4 super YangMills theory. At strong coupling and largeN it is captured by the classical dynamics of a spinning D5brane. The present calculation generalizes the result of Gubser, Klebanov and Polyakov (hepth/0204051): in order to calculate the anomalous dimension of a bound state of k coincident strings, the spinning closed string is replaced by a spinning D5 brane that wraps an S 4 inside the S 5 part of the AdS5 × S 5 metric. Keywords: AdS/CFT, large N, Branes. – 1 –
Fat magnon
 JHEP
, 2007
"... We consider a Dbrane type state which shares the characteristic of the recently found giant magnon of Hofman and Maldacena. More specifically we find a bound state of giant graviton (D3brane) and giant magnon (Fstring), which has exactly the same anomalous dimension as that of the giant magnon. I ..."
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Cited by 11 (0 self)
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We consider a Dbrane type state which shares the characteristic of the recently found giant magnon of Hofman and Maldacena. More specifically we find a bound state of giant graviton (D3brane) and giant magnon (Fstring), which has exactly the same anomalous dimension as that of the giant magnon. It is described by the D3brane with electric flux which is topologically a S 3 elongated by the electric flux. The angular momentum and energy are infinite, but split sensibly into two parts – the infinite part precisely the same as that of the giant magnon and the finite part which can be identified as the contribution from the giant graviton. We discuss that the corresponding dual gauge theory operator is not a simple chain type but rather admixture of the (sub)determinant and chain types. 1
Superprotected npoint correlation functions
, 901
"... of local operators in N = 4 super YangMills ..."
Dbranes as a Bubbling CalabiYau
 JHEP 07 (2007) 005, arXiv:0704.3080 [hepth
"... Motivated by recent developments in the AdS/CFT correspondence, we provide several alternative bulk descriptions of an arbitrary Wilson loop operator in ChernSimons theory. Wilson loop operators in ChernSimons theory can be given a description in terms of a configuration of branes or alternatively ..."
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Cited by 9 (6 self)
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Motivated by recent developments in the AdS/CFT correspondence, we provide several alternative bulk descriptions of an arbitrary Wilson loop operator in ChernSimons theory. Wilson loop operators in ChernSimons theory can be given a description in terms of a configuration of branes or alternatively antibranes in the resolved conifold geometry. The representation of the Wilson loop is encoded in the holonomy of the gauge field living on the dual brane configuration. By letting the branes undergo a new type of geometric transition, we argue that each Wilson loop operator can also be described by a bubbling CalabiYau geometry, whose topology encodes the representation of the Wilson loop. These CalabiYau manifolds provide a novel representation of knot invariants. For the unknot we confirm these identifications to all orders in the genus expansion. 1 jgomis(AT)perimeterinstitute.ca