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.

18 pages, 3 figures. v2: added discussion on perturbative corrections in the gauge theory side

References in corpus (7)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Knot Invariants from Four-Dimensional Gauge Theory
• Interface Yang-Mills, Supersymmetry, and Janus
• Ten-dimensional supersymmetric Janus solutions
• Bubbling Defect CFT's
• Holography of BPS surface operators

Cited by in corpus (36)

• Shadows of 5D Black Holes from String Theory
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• One-loop one-point functions in gauge-gravity dualities with defects
• Asymptotic one-point functions in AdS/dCFT
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• A Quantum Check of AdS/dCFT
• Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations
• Expectation values of chiral primary operators in holographic interface CFT
• Complexity in the presence of a boundary
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• One-point functions in AdS/dCFT
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• String integrability of defect CFT and dynamical reflection matrices
• Circular Wilson loops in defect Conformal Field Theory
• String integrability of the ABJM defect
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• Quark-antiquark potential in defect conformal field theory
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• Complexity growth for topological black holes by holographic method
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Interface in AdS black hole spacetime
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Interface in Kerr-AdS black hole spacetime
• D5-brane on topological black holes
• One-point functions for doubly-holographic BCFTs and backreacting defects
• B-type anomaly coefficients for the D3-D7 domain wall
• Wilson lines in AdS/dCFT
• D5-brane in AdS black holes with nonzero gauge flux
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Time dependent Interface in AdS Black Hole Spacetime