On gravitational description of Wilson lines
By O. Lunin. 2006
194 citations recorded by the source corpus.
We study solutions of Type IIB supergravity, which describe the geometries dual to supersymmetric Wilson lines in = 4 super-Yang-Mills. We show that the solutions are uniquely specified by one function which satisfies a Laplace equation in two dimensions. We show that if this function obeys a certain Dirichlet boundary condition, the corresponding geometry is regular, and we find a simple interpretation of this boundary condition in terms of D3 and D5 branes which are dissolved in the geometry. While all our metrics have AdS5 × S5 asymptotics, they generically have nontrivial topologies, which can be uniquely specified by a set of non-contractible three- and five-spheres.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c161006bd5b193cff5767e3d324f7c953c1f70c3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Supersymmetric Wilson loops on S**3. (2007, background): “For these probe brane computations see also [15–19], while fully back-reacted geometries dual to Wilson loops are studied in [20–23].”
- 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].”
- Higher rank Wilson loops from a matrix model (2006, methodology): “At large and small couplings we give explicit formulae and reproduce supergravity results from both D3 and D5 branes within a systematic framework.”
- Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, background): “The NSNS and RR 2-form gauge potentials behave as follows near the boundary, Re(B(2)) ∼ e−3|x| sin y ê45 Im(B(2)) ∼ e−3|x| cos y ê67 (10.28) Their dependence on the S5 corresponds to lowest Kaluza-Klein modes on the S5 of the anti-symmetric rank 2 tensor field and is associated with a scalar field”
- The AdS/CFT correspondence (2014, background): “27 In fact, certain other representations can be better characterized using D3-branes, and hence by corresponding three-dimensional extremal surfaces [48] (though in even more exotic cases, with sufficiently many such branes, the bulk is better described by regular but topologically non-trivial ‘bub”