Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-13
Int.J.Mod.Phys.A22:1353-1374,2007
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 9 figures. v2:typos corrected. v3:added the differential conditions and comments at the end of section 2. typos corr
Scientific paper
10.1142/S0217751X07035070
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.
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