Entanglement entropy of Wilson loops: Holography and matrix models

Abstract

A half-BPS circular Wilson loop in $\mathcal{N}=4$ $SU(N)$ supersymmetric Yang-Mills theory in an arbitrary representation is described by a Gaussian matrix model with a particular insertion. The additional entanglement entropy of a spherical region in the presence of such a loop was recently computed by Lewkowycz and Maldacena using exact matrix model results. In this note we utilize the supergravity solutions that are dual to such Wilson loops in a representation with order $N^2$ boxes to calculate this entropy holographically. Employing the matrix model results of Gomis, Matsuura, Okuda and Trancanelli we express this holographic entanglement entropy in a form that can be compared with the calculation of Lewkowycz and Maldacena. We find complete agreement between the matrix model and holographic calculations.

17 pages, 1 figure

References in corpus (12)

• Towards a derivation of holographic entanglement entropy
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• On gravitational description of Wilson lines
• 1/2-BPS states in M theory and defects in the dual CFTs
• Ten-dimensional supersymmetric Janus solutions
• Bubbling Defect CFT's
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• New supersymmetric AdS_3 solutions

Cited by in corpus (3)

• Holographic Schwinger effect in de Sitter space
• Entanglement entropy and edge modes in topological string theory: I
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair