Holographic Wilson loops

By Joaquim Gomis, Filippo Passerini. 2006

385 citations recorded by the source corpus.

We show that all half-BPS Wilson loop operators in = 4 SYM – which are labeled by Young tableaus – have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes in AdS5 × S5. We prove that the insertion of a half-BPS Wilson loop operator in the = 4 SYM path integral is achieved by integrating out the degrees of freedom on a configuration of bulk D5-branes or alternatively on a configuration of bulk D3-branes. The bulk D5-brane and D3-brane descriptions are related by bosonization.

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

View Paper: https://www.semanticscholar.org/paper/7da2f4581802a9f80939135155a9581f0b2ebcd3

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Citations in the corpus

Exact half-BPS type IIB interface solutions II: flux solutions and multi-Janus (2007, background): “) Another motivation stems from the similarity of the problem with the construction of half-BPS “bubbling geometries” in [5], and of AdS/CFT duals to half-BPS Wilson loop operators in N = 4 super Yang-Mills in 4-dimensional space-time [6, 7, 8].”
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.”
Supersymmetric Wilson loops on S**3. (2007, background): “nst the classical action of a string worldsheet in AdS, and certain 1/Ncorrections were also correctly reproduced by D-branes corresponding to Wilson loops in large representations of the gauge group [12,14,15]. A new possible point of view on the matrix model will be discussed in Section 4, where w”
On gravitational description of Wilson lines (2006, background): “1): they are characterized by representations of the gauge group, and it was shown in [17] that the symmetric representations correspond to D3 branes with fluxes, while antisymmetric representations correspond to D5 branes.”
From Weak to Strong Coupling in ABJM Theory (2010, background): “2 Giant Wilson loops It has been argued in [33, 68, 34, 35] that a D-brane probe in AdS5 × S5 represents an insertion of a Wilson loop in the dual 4d N = 4 SYM with a large symmetric or antisymmetric representation (in the case of D3 branes and D5 branes, respectively).”
Wilson Loops as D3-Branes (2006, background): “insert into the U(N) N = 4 SYM path integral a Wilson loop operator with the expected representation, thus explicitly confirming the proposal in [1].”
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.”
Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, background): “In addition, there are non-trivial NSNS and RR 3-form fluxes present in these solutions.”
Higher rank Wilson loops from a matrix model (2006, methodology): “A complete dictionary was later proposed in [14] relating supersymmetric Wilson loops in an arbitrary representation to D3 and D5 branes in the dual geometry.”
Fivebranes and Knots (2011, background): “These constructions all have better understood and more extensively studied analogs, [45], [110], and [44], for line operators in N D 4 super Yang–Mills theory that are derived from branes in AdS5 S(5).”
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.”
The energy of a moving quark-antiquark pair in an Script N = 4 SYM plasma (2006, methodology): “(1)An AdS/CFT prescription for directly computing certain Wilson loops in an arbitrary representation of the gauge group was given recently in [22].”