Entanglement of heavy quark impurities and generalized gravitational entropy

Abstract

We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS_5 x S^5, dual to pointlike impurities exhibiting flows between quarks in large-rank tensor representations and the fundamental representation. For the D5-brane embedding which describes the screening of fundamental quarks in the UV to the antisymmetric tensor representation in the IR, the EE excess decreases non-monotonically towards its IR asymptotic value, tracking the qualitative behaviour of the one-point function of static fields sourced by the impurity. We also examine two classes of D3-brane embeddings, one which connects a symmetric representation source in the UV to fundamental quarks in the IR, and a second category which yields the symmetric representation source on the Coulomb branch. The EE excess for the former increases from the UV to the IR, whilst decreasing and becoming negative for the latter. In all cases, the probe free energy on hyperbolic space with β=2π, increases monotonically towards the IR, supporting its interpretation as a relative entropy. We identify universal corrections, depending logarithmically on the VEV, for the symmetric representation on the Coulomb branch.

40 pages, 10 figures

References in corpus (12)

• Towards a derivation of holographic entanglement entropy
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• The g-theorem and quantum information theory
• Multiply wound Polyakov loops at strong coupling
• The Spectrum of Excitations of Holographic Wilson Loops
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• The Stress-Energy Tensor of Flavor Fields from AdS/CFT
• Entanglement Entropy in a Holographic Kondo Model
• BPS Soliton Solutions of a D3-brane Action
• Holographic flows and thermodynamics of Polyakov loop impurities

Cited by in corpus (12)

• Towards a $C$-theorem in defect CFT
• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• Holographic entanglement entropy from probe M-theory branes
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Free energy and defect $C$-theorem in free scalar theory
• Free energy and defect $C$-theorem in free fermion
• Holographic Entanglement Entropy of the Coulomb Branch
• Holographic Wilson Lines as Screened Impurities
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• Flavors of entanglement
• Entanglement and Excitations in Gauge/Gravity Duality
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory