Results 1 - 10 of 114

Multiply wound Polyakov loops at strong coupling,” arXiv:hep-th/0603190

by Sean A. Hartnoll, S. Prem Kumar
"... We study the expectation value of a Polyakov-Maldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super Yang-Mills 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 ..."
Abstract - Cited by 58 (6 self) - Add to MetaCart
We study the expectation value of a Polyakov-Maldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super Yang-Mills 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 Yang-Mills (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
(Show Context)

Operator product expansion of higher rank Wilson loops from D-branes and matrix models,” JHEP 0610

by Simone Giombi, Riccardo Ricci, Diego Trancanelli , 2006
"... In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N = 4 super Yang-Mills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and D-branes with electric ..."
Abstract - Cited by 39 (8 self) - Add to MetaCart
In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N = 4 super Yang-Mills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and D-branes with electric fluxes in supergravity. We verify our results with a matrix model computation, finding
(Show Context)

Computing Wilson lines with dielectric branes”, Nucl. Phys. B752

by D. Rodríguez-gómez, Teórica C-xi , 2006
"... Wilson lines in N = 4 SYM can be computed in terms of branes carrying electric flux, i.e. F-strings 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 D-branes. In this note we explicit ..."
Abstract - Cited by 20 (0 self) - Add to MetaCart
Wilson lines in N = 4 SYM can be computed in terms of branes carrying electric flux, i.e. F-strings 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 D-branes. 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
(Show Context)

Exact 1/4 BPS loop: Chiral primary correlator,” Phys

by Gordon W. Semenoff, Donovan Young - 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 Yang-Mills 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 ..."
Abstract - Cited by 17 (6 self) - Add to MetaCart
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 Yang-Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are shown to vanish. The correlation functions are also computed in the strong-coupling limit by examining the supergravity dual of the loop-loop 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 re-scaling of the coupling constant, similar to an observation of Drukker, hep-th/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 Yang-Mills theory, their correspondence with 1/2 BPS gravitons and fundamental string world-sheets 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 Yang-Mills 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 Yang-Mills theory by summing planar diagrams [17]-[21],[11]. To point, for example, it is this sum, in the form of a

UV-divergences of Wilson Loops for Gauge/Gravity Duality

by Chong-sun Chu, Dimitrios Giataganas , 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 B-field and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions ..."
Abstract - Cited by 15 (7 self) - Add to MetaCart
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 B-field and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions on the B-field 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 B-field in general. We also solve the conditions for the cancellation of the leading linear divergences generally and find that many well-known supergravity backgrounds are of these kinds, including examples such as the Sakai-Sugimoto QCD model or N = 1 duality with Sasaki-Einstein spaces. We also point out that Wilson loop in the Klebanov-Strassler background have a divergence associated with the B-field 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 Chern-Simons theory.

Semi-classical open string corrections and symmetric Wilson loops

by Satoshi Yamaguchi - JHEP , 2007
"... In the AdS/CFT correspondence, an AdS2 × S2 D3-brane 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 Yang-Mills theory. In order to distinguish the symmetric loop and the multiply wound loop, one s ..."
Abstract - Cited by 14 (0 self) - Add to MetaCart
In the AdS/CFT correspondence, an AdS2 × S2 D3-brane 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 Yang-Mills 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 semi-classically the disk open string attached to the D3-brane. 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 non-local operators in Yang-Mills theories. In particular the Wilson loops in N = 4 super Yang-Mills 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
(Show Context)

Anomalous dimensions from a spinning D5-brane

by Adi Armoni - JHEP , 2006
"... Abstract: We consider the anomalous dimension of a certain twist two operator in N = 4 super Yang-Mills theory. At strong coupling and large-N it is captured by the classical dynamics of a spinning D5-brane. The present calculation generalizes the result of Gubser, Klebanov and Polyakov (hep-th/0204 ..."
Abstract - Cited by 11 (1 self) - Add to MetaCart
Abstract: We consider the anomalous dimension of a certain twist two operator in N = 4 super Yang-Mills theory. At strong coupling and large-N it is captured by the classical dynamics of a spinning D5-brane. The present calculation generalizes the result of Gubser, Klebanov and Polyakov (hep-th/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

by Shinji Hirano - JHEP , 2007
"... We consider a D-brane 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 (D3-brane) and giant magnon (F-string), which has exactly the same anomalous dimension as that of the giant magnon. I ..."
Abstract - Cited by 11 (0 self) - Add to MetaCart
We consider a D-brane 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 (D3-brane) and giant magnon (F-string), which has exactly the same anomalous dimension as that of the giant magnon. It is described by the D3-brane 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
(Show Context)

Superprotected n-point correlation functions

by Nadav Drukker, Jan Plefka , 901
"... of local operators in N = 4 super Yang-Mills ..."
Abstract - Cited by 10 (1 self) - Add to MetaCart
of local operators in N = 4 super Yang-Mills

D-branes as a Bubbling Calabi-Yau

by Jaume Gomis, Takuya Okuda - JHEP 07 (2007) 005, arXiv:0704.3080 [hep-th
"... Motivated by recent developments in the AdS/CFT correspondence, we provide several alternative bulk descriptions of an arbitrary Wilson loop operator in Chern-Simons theory. Wilson loop operators in Chern-Simons theory can be given a description in terms of a configuration of branes or alternatively ..."
Abstract - Cited by 9 (6 self) - Add to MetaCart
Motivated by recent developments in the AdS/CFT correspondence, we provide several alternative bulk descriptions of an arbitrary Wilson loop operator in Chern-Simons theory. Wilson loop operators in Chern-Simons theory can be given a description in terms of a configuration of branes or alternatively anti-branes 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 Calabi-Yau geometry, whose topology encodes the representation of the Wilson loop. These Calabi-Yau 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
(Show Context)