D5-brane on topological black holes

Abstract

Abstract Our interest is in finding the difference in 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 probe D5-branes in this nontrivial black hole spacetime. We would like to find the solution that describes the embedding of a 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.