Bubbling Geometries for Half BPS Wilson lines
Satoshi Yamaguchi
TL;DR
This paper explores supergravity solutions corresponding to supersymmetric Wilson lines in AdS/CFT, characterizing them via continuous maya diagrams linked to matrix model eigenvalues.
Contribution
It introduces a new class of supergravity backgrounds for Wilson lines, characterized by continuous maya diagrams related to matrix model eigenvalue distributions.
Findings
Supergravity backgrounds preserving Wilson line symmetries are characterized.
Conditions for supersymmetry preservation are derived from gravitino and dilatino equations.
Connections between supergravity solutions and matrix model eigenvalue distributions are established.
Abstract
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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