D5-brane in AdS black holes with nonzero gauge flux
Koichi Nagasaki

TL;DR
This paper investigates D5-brane solutions in various AdS black hole backgrounds with nonzero gauge flux, analyzing their behavior and potential energy contributions in the context of holography.
Contribution
It presents new D5-brane solutions in AdS black holes with different topologies and explores the effects of gauge flux on their properties and associated potentials.
Findings
D5-brane solutions vary with gauge flux and black hole topology
Potential energy calculations for interface and Wilson loop configurations
Behavior of D5-branes differs across spherical, hyperbolic, and toroidal backgrounds
Abstract
We find the probe D5-brane solution on the black home spacetime which is asymptomatically AdS_5 x S^5. These black holes have spherical, hyperbolic and toroidal structures. Depending on the gauge flux on the D5-brane, the D5-brane behaves differently. This By adding the fundamental string, the potential energy of the interface solution and the Wilson loop is given in the case of non zero gauge flux.
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