Holographic Interface-Particle Potential
Abstract
We consider two N=4 supersymmetric gauge theories connected by an interface and the gravity dual of this system. This interface is expressed by a fuzzy funnel solution of Nahm's equation in the gauge theory side. The gravity dual is a probe D5-brane in AdS_5 x S^5. The potential energy between this interface and a test particle is calculated in both the gauge theory side and the gravity side by the expectation value of a Wilson loop. In the gauge theory it is evaluated by just substituting the classical solution to the Wilson loop. On the other hand it is done by the on-shell action of the fundamental string stretched between the AdS boundary and the D5-brane in the gravity. We show the gauge theory result and the gravity one agree with each other.
Cite
@article{arxiv.1109.1927,
title = {Holographic Interface-Particle Potential},
author = {Koichi Nagasaki and Hiroaki Tanida and Satoshi Yamaguchi},
journal= {arXiv preprint arXiv:1109.1927},
year = {2015}
}
Comments
18 pages, 3 figures. v2: added discussion on perturbative corrections in the gauge theory side