TL;DR
This paper investigates how probe D5-branes embed in topologically distinct black hole spacetimes to understand their effects on boundary gauge theories within the AdS/CFT framework.
Contribution
It provides new solutions for D5-brane embeddings in spherical, hyperbolic, and toroidal black holes, enhancing understanding of non-local operators in holography.
Findings
D5-brane embeddings vary with black hole topology
Interface solutions relate to non-local operators in gauge theories
Insights into AdS/CFT correspondence with different horizon geometries
Abstract
Our interest is to find the difference of the behavior between black holes with three different topologies. These black holes have spherical, hyperbolic and toroidal structures. We study in this paper the behavior of a probe D5-branes in this nontrivial black hole spacetime. We would like to find the solution what describe the embedding of probe D5-brane. This system realizes an "interface" solution, a kind of non-local operators, on the boundary gauge theories. These operators are important to deepen understanding of AdS/CFT correspondence.
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