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 × 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.

Corner contributions to holographic entanglement entropy in AdS4/BCFT3

“…Comparing (5.8) with (1.9), we have that in this case P A,B = L , the logarithmic divergence does not occur and the O(1) term is negative. The result (5.8) restricted to α ∈ (π/2, π) has been first found in [89]. 2 An important role in our analysis is played by the extremal surfaceγ dis A given by the vertical half plane at x = .…”

Interface in AdS black hole spacetime

“…Static case In the static case, the solution of the above equations must be x 3 = κy as obtained in [4]. Let us confirm it.…”

“…The time defined on a boundary theory is denoted by t L . The separated regions (2), (3) and (4) do not contribute the development. We only have to find the contribution of region (1) to measure the time development of the WDW action.…”

Circular Wilson loops in defect $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions

“…The goal of the present paper is to study the vacuum expectation value of a circular Maldacena-Wilson loop in a four-dimensional dCFT given by N = 4 SYM theory with a co-dimension one hyperplane inserted at x 3 = 0 as in [3,5,9]. More precisely, the defect separates two different N = 4 SYM theories: in the region x 3 < 0, we have the standard N = 4 SYM with gauge group SU (N − k).…”

“…The presence of the defect implies that fields living in the x 3 > 0 region will have a non-trivial vacuum solution: by imposing that a part of the supersymmetry is preserved a specific profile is obtained for the scalars. Following [5], one assumes the ansatz A µ = 0 (µ = 0, 1, 2, 3) ,…”