### Citations

503 | Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,” Eur
- Rey, Yee
- 2001
(Show Context)
Citation Context ...:0905.0665[hep-th]. We verify that the regularized area of the world-sheets are consistent with expectations. ar X iv :1 10 4. 37 46 v2s[ he pth]s4sA ugs20 11 1 Introduction The Maldacena-Wilson loop =-=[1, 2]-=- has proven to be of pervasive usefulness as an observable in the AdS/CFT correspondence in particular [3], and in the gauge-gravity duality in general. Examples of areas of application include AdS/QC... |

363 | Localization of gauge theory on a four-sphere and supersymmetric Wilson loops,” 0712.2824 - Pestun |

289 | Electric-magnetic duality and the geometric Langlands program - Kapustin, Witten |

241 |
loops in large N field theories
- Maldacena, “Wilson
- 1998
(Show Context)
Citation Context ...:0905.0665[hep-th]. We verify that the regularized area of the world-sheets are consistent with expectations. ar X iv :1 10 4. 37 46 v2s[ he pth]s4sA ugs20 11 1 Introduction The Maldacena-Wilson loop =-=[1, 2]-=- has proven to be of pervasive usefulness as an observable in the AdS/CFT correspondence in particular [3], and in the gauge-gravity duality in general. Examples of areas of application include AdS/QC... |

139 | The heterotic string - Gross, Harvey, et al. - 1985 |

139 | Wilson loops - Erickson, Semenoff, et al. - 2000 |

127 | All-genus calculation of Wilson loops using D-branes - Drukker, Fiol |

116 |
Relativistically invariant two-dimensional models in field theory integrable by the inverse problem technique
- Zakharov, Mikhailov
- 1978
(Show Context)
Citation Context ...ill show in the next section. The new solutions presented in section 4 are obtained by dressing the vacuum twice, i.e. by dressing the longitude solution. 3 Dressing method We use the dressing method =-=[48]-=- for the SU(2) sigma model to construct strings that live in S3 and have Euclidean worldsheet. Let ξA be the spacetime components of the string. We consider the element g = ( ξ1 + iξ2 −i(ξ3 + iξ4) −i(... |

112 | Wilson loops of anti-symmetric representation and D5 - Yamaguchi |

93 | Wilson loops in the large N limit at finite temperature,” Phys - Brandhuber, Itzhaki, et al. - 1998 |

92 | Tseytlin, “Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings - Kruczenski, Roiban, et al. |

82 |
On gravitational description of Wilson lines
- Lunin
- 2006
(Show Context)
Citation Context ...nst.} whose dynamics are captured by 1For R of rank O(N) the string is replaced by D3 and D5-branes [9–14], for R of rank O(N2) the AdS5 × S5 background geometry is replaced by a back-reacted version =-=[15, 16]-=-. 2The area is divergent and must be regularized by removing a term proportional to the Wilson loop’s perimeter. 3For recent progress concerning Wilson loops with constant scalar coupling, see [18]. 1... |

58 | Higher rank Wilson loops from a matrix model - Hartnoll, Kumar |

53 |
Cubaa Library for Multidimensional Numerical Integration,”
- Hahn
- 2005
(Show Context)
Citation Context ...de selection of parameters using numerical integration and have verified it with 10−6 percent-error accuracy. In figure 5 we show the results of numerical integration performed using the Cuba package =-=[53]-=- for a range of values of C, and for each range three representative values of b: √ 1 + C2 and √ 1 + C2 ± 3C/5. In the plot on the left the boxes are the predicted value from the RHS of (39) while the... |

50 | 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model - Drukker |

35 | An exact prediction of N=4 SUSYM theory for string theory - Drukker, Gross |

33 | Stringy corrections to the Wilson loop - Forste, Ghoshal, et al. - 1999 |

30 | Two universal results for Wilson loops at strong coupling,” Phys - Hartnoll |

29 | Localization of the four-dimensional N=4 SYM to a two- sphere and 1/8 BPS Wilson loops,” 0906.0638 - Pestun |

28 | Quantum fluctuations of Wilson loops from string models,” Nucl - Kinar, Schreiber, et al. - 2000 |

28 | Calibrated surfaces and supersymmetric Wilson loops - Dymarsky, Gubser, et al. |

20 | Supersymmetric Wilson loops at two loops - Bassetto, Griguolo, et al. |

18 | Properties of chiral Wilson loops - Guralnik, Kulik |

18 | Notes on supersymmetric Wilson loops on a two-sphere
- Giombi, Pestun, et al.
(Show Context)
Citation Context ... the Zarembo loops at strong coupling in [47]. In particular, the problem of finding classical string solutions of minimal area which end on the 1/8-BPS contours can be reduced to a sigma-model on S3 =-=[46]-=-. The procedure is non-trivial however, and not every solution of the sigma-model provides a Wilson loop. Indeed, there were originally only two solutions known, and these were obtained without recour... |

15 | Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling - Kruczenski, Tirziu |

13 | Remarks on the heavy quark potential in the super- gravity approach, JHEP 9808 - Greensite, Olesen - 1998 |

12 | Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity,” arXiv:1012.3997 [hep-th
- Kristjansen
(Show Context)
Citation Context ... ar X iv :1 10 4. 37 46 v2s[ he pth]s4sA ugs20 11 1 Introduction The Maldacena-Wilson loop [1, 2] has proven to be of pervasive usefulness as an observable in the AdS/CFT correspondence in particular =-=[3]-=-, and in the gauge-gravity duality in general. Examples of areas of application include AdS/QCD [4], scattering amplitudes [5], and Dp-brane theories [6–8]. In Euclidean N = 4 supersymmetric Yang-Mill... |

12 | Notes on Euclidean Wilson loops and Riemann Theta functions,” Phys
- Ishizeki, Kruczenski, et al.
(Show Context)
Citation Context ...15, 16]. 2The area is divergent and must be regularized by removing a term proportional to the Wilson loop’s perimeter. 3For recent progress concerning Wilson loops with constant scalar coupling, see =-=[18]-=-. 1 a Hermitian matrix model [33–35], exact for all values of N and λ. Recently, these two examples of Wilson loops were shown to arise from a larger class of generically 1/16-BPS Wilson loops with xµ... |

12 | The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark - Chu, Hou, et al. |

12 | Less is more: Non-renormalization theorems from lower dimensional superspace - Guralnik, Kovacs, et al. - 2005 |

11 |
Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
- Alday
(Show Context)
Citation Context ...e usefulness as an observable in the AdS/CFT correspondence in particular [3], and in the gauge-gravity duality in general. Examples of areas of application include AdS/QCD [4], scattering amplitudes =-=[5]-=-, and Dp-brane theories [6–8]. In Euclidean N = 4 supersymmetric Yang-Mills theory in four dimensions, this non-local, gauge-invariant operator couples both to the gauge field Aµ(x) and to the six rea... |

11 | Correlators of local operators and 1/8 - Giombi, Pestun |

10 |
Loops and Minimal Surfaces, Phys.Rev. D60
- Drukker, Ooguri
- 1999
(Show Context)
Citation Context ... open strings , ΘI(τ) provides a similar boundary condition on S5. At large N and λ = g2YMN , and for R of rank 1 O(1), the string worldsheet is classical and describes a minimal surface in AdS5 × S5 =-=[17]-=-. The area2 of this minimal surface is related to the logarithm of the expectation value of the Wilson loop 〈WR(C)〉. In this way we have replaced the problem of the strong coupling behaviour of WR(C) ... |

10 | Quark-antiquark potential in AdS at one loop - Forini - 2010 |

8 |
Bubbling geometries for half BPS Wilson lines, Int.J.Mod.Phys. A22
- Yamaguchi
- 2007
(Show Context)
Citation Context ...nst.} whose dynamics are captured by 1For R of rank O(N) the string is replaced by D3 and D5-branes [9–14], for R of rank O(N2) the AdS5 × S5 background geometry is replaced by a back-reacted version =-=[15, 16]-=-. 2The area is divergent and must be regularized by removing a term proportional to the Wilson loop’s perimeter. 3For recent progress concerning Wilson loops with constant scalar coupling, see [18]. 1... |

8 | More supersymmetric Wilson loops - Drukker, Giombi, et al. |

6 | Supersymmetric Wilson Loops - Agarwal, Young |

6 |
Supersymmetric Wilson loops”, Nucl.Phys
- Zarembo
- 2002
(Show Context)
Citation Context ...WR(C)〉 may be calculated via semi-classical fluctuation determinants [19–28]. The simplest Wilson loops (1) have ΘI(τ) = M Iµ ẋµ(τ) |ẋ(τ)| , M I µM I ν = δµν , (2) and were discovered by Zarembo in =-=[29]-=-. If the curve xµ(τ) lies in Rn, these Wilson loops are (1/2)n-BPS. They have trivial expectation value 〈W 〉 = 1, to all orders of perturbation theory [30–32]. The next-to-simplest Wilson loop (1) is ... |

6 | Giant magnons in symmetric spaces: Explicit n-soliton solutions for CPn
- Kalousios, Papathanasiou
(Show Context)
Citation Context ...) = g and the coset constraint Ψ(λ̄)†Ψ(λ) = I. We find Ψ(λ) = ( ie−if(λ) 0 0 −ieif(λ) ) , f(λ) = λσ + τ 1 + λ2 . (25) The general N -soliton solution for the SU(n) sigma model has been constructed in =-=[49]-=- (see also [50–52]). Here we are interested in the special case n = 2 and we are focusing only on 1- and 2-soliton solutions, which can be expressed respectively as g1 = √ λ1 λ̄1 (α11I2×2 + h1h † 1)g0... |

6 | S.Shnider: “Superposition of solutions to Bäcklund transformations for SU(n) principal σ-model - Harnad - 1984 |

4 | Wilson loops: From four-dimensional - Drukker, Giombi, et al. |

4 | Exact solutions for N-magnon scattering - Kalousios, Papathanasiou, et al. |

3 |
et al., “Correlators of supersymmetric Wilson loops at weak and strong coupling
- Bassetto, Griguolo, et al.
(Show Context)
Citation Context ...e longitude solution. We conclude in section 5 with a discussion. 4An original disagreement for Wilson loop correlators presented in [41] has since been retracted; the numerical analysis presented in =-=[43]-=- supports the two-dimensional Yang-Mills conjecture. 5Lmn is the Laguerre polynomial L m n (x) = 1/n! exp[x]x −m(d/dx)n(exp[−x]xn+m). 2 2 Pseudo-holomorphicity equations and sigma-model on S3 The 1/8-... |

2 | Wilson loops in (p+1)-dimensional Yang-Mills theories using gravity/gauge theory correspondence,” arXiv:1103.1248 - Chakraborty, Roy |

2 | The Spectrum of Excitations of Holographic Wilson Loops - Faraggi, Zayas - 2012 |

1 | Dressing the Giant - Spradlin, Volovich |