Wilson Loops of Anti-symmetric Representation and D5-branes

By Satoshi Yamaguchi. 2006

298 citations recorded by the source corpus.

We use a D5-brane with electric flux in AdS_5 x S^5 background to calculate the circular Wilson loop of anti-symmetric representation in N=4 super Yang-Mills theory in 4 dimensions. The result agrees with the Gaussian matrix model calculation.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1545784a00226dfddc93e99f9241a46ccc496fb9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. N. Drukker
2. Pavel Putrov
3. J. Maldacena
4. Joaquim Gomis
5. S. Hartnoll
6. Marcos Mariño
7. O. Lunin
8. S. Kumar

In Nuclear and High Energy Physics

1. N. Drukker
2. J. Maldacena
3. A. Tseytlin
4. R. Roiban
5. Marcos Mariño
6. Aitor Lewkowycz
7. S. Giombi
8. S. Frolov

In Statistical and Nonlinear Physics

1. Marcos Mariño
2. N. Drukker
3. J. Maldacena
4. Aitor Lewkowycz
5. Pavel Putrov
6. S. Hartnoll
7. R. Roiban
8. O. Lunin

Citations in the corpus

• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model (2006, background): “(2)For some results beyond the planar level see [14, 15] (3)Those saddle points come from the semiclassical evaluation of the integral in (4.”
• Exact results for the entanglement entropy and the energy radiated by a quark (2013, methodology): “We can compute the entanglement entropy for the k-symmmetric and k-antisymmetric representations at strong coupling [38, 39, 40] for k,N →∞ and k/N =fixed.”
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, background): “In fact the AdS2×S(4) branes can be interpreted as Wilson loops in the k-fold antisymmetric representation of U(N) [27].”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, background): “5 One may also consider the D3 and D5 branes dual to 1/2-BPS Wilson loops in higher-rank symmetric and antisymmetric representations [32,33,15,34]: these branes have AdS2 × S2 or AdS2 × S4 worldvolumes, and preserve the same OSp(4∗|4) symmetry as the fundamental string.”
• Small deformations of supersymmetric Wilson loops and open spin-chains (2006, methodology): “We compare the spectrum in the limit of large angular momentum both in the dilute gas approximation and the thermodynamic limit to the relevant string solution in the BMN limit and in the full AdS5 × S5 metric and find agreement.”
• Supersymmetric Wilson loops on S**3. (2007, methodology): “8) can be matched against the classical action of a string worldsheet in AdS, and certain 1/N corrections were also correctly reproduced by D-branes corresponding to Wilson loops in large representations of the gauge group [12, 14, 15].”
• Holographic Wilson loops (2006, background): “While this paper was getting ready for publication, the preprint [30] appeared, which has overlap with parts of section 3.”
• From Weak to Strong Coupling in ABJM Theory (2010, background): “In this expression we see the expected symmetry [68] n ↔ N − n, (B.”
• Higher rank Wilson loops from a matrix model (2006, methodology): “(2.42) Plugging this back into (2.39) we obtain the contribution to the Wilson loop from this saddle point as W1 = exp [ 2N ( κ √ 1 + κ2 + sinh−1 κ )] , (2.43) which is exactly the result found by Drukker and Fiol [13] using a probe D3 brane in AdS5 × S5.”
• Wilson Loops as D3-Branes (2006, background): “work see e.g. [ 6 ]-[12]. In [1], it was argued that the D3k-brane 3 solution in AdS5×S 5 of [4][2] corresponds”
• On gravitational description of Wilson lines (2006, methodology): “The analogy between D5 brane and the giant graviton (and between D3 brane and the dual giant) is also supported by the field theory consideration of [ 17 ].”