BUBBLING GEOMETRIES FOR HALF-BPS WILSON LINES
By Satoshi Yamaguchi. 2006
180 citations recorded by the source corpus.
We consider the supergravity backgrounds that correspond to supersymmetric Wilson line operators in the context of AdS/CFT correspondence. We study the gravitino and dilatino conditions of the IIB supergravity under the appropriate ansatz, and obtain some necessary conditions for a supergravity background that preserves the same symmetry as the supersymmetric Wilson lines. The supergravity solutions are characterized by continuous version of Maya diagrams. This diagram is related to the eigenvalue distribution of the Gaussian matrix model. We also consider the similar backgrounds of the 11-dimensional supergravity.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1c973201dbf6e6d87b3df7e8a2536a9b907cc6f7
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In Applied Mathematics
In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Wilson Loops as D3-Branes (2006, background): “Recently, the bulk description of all half-BPS Wilson loop operators of N = 4 SYM has been given [1] in terms of D-branes in AdS5×S 5 (see [2][3] for previous work).”
- On gravitational description of Wilson lines (2006, background): “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.”
- 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].”
- Wilson Loops of Anti-symmetric Representation and D5-branes (2006, background): “1 Supersymmetry of AdS5 × S(5) spacetime It is convenient to express the AdS5 × S(5) background as the fibration of 2-dimensional space with AdS2 × S(2) × S(4) fiber [7].”
- 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.”
- 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].”
- 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).”
- 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.”