Holographic entanglement entropy from probe M-theory branes

Abstract

We compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional $\mathcal{N}=(2,0)$ superconformal field theory, holographically dual to probe M2- and M5-branes in $Ad{S}_7\times S^4$. In particular, we test the viability of the universal contribution of the defect to entanglement entropy as a candidate $C$-function. We find that this coefficient is not monotonic under defect renormalization group flows triggered by the vacuum expectation value of a marginal operator. Another candidate $C$-function, the on-shell action inside the entanglement wedge, monotonically decreases under the flows we study.

28 pages, one appendix, 24 PDF files in 8 figures

References in corpus (19)

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• Towards a derivation of holographic entanglement entropy
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Causality & holographic entanglement entropy
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Holographic Wilson Loops
• Holography for (1,0) theories in six dimensions
• A c-theorem for the entanglement entropy
• 1/2-BPS states in M theory and defects in the dual CFTs
• Towards a $C$-theorem in defect CFT
• M5-branes and Wilson Surfaces
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• Supersymmetric D3/D5 for massive defects on curved space
• Entanglement of heavy quark impurities and generalized gravitational entropy
• The Self-dual String Soliton in AdS_4\times S^7 spacetime
• Holographic flows and thermodynamics of Polyakov loop impurities

Cited by in corpus (25)

• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• Surface Defect, Anomalies and $b$-Extremization
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Broken global symmetries and defect conformal manifolds
• Central Charges of 2d Superconformal Defects
• A slow review of the AGT correspondence
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Monodromy Defects in Free Field Theories
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Free energy and defect $C$-theorem in free scalar theory
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
• Free energy and defect $C$-theorem in free fermion
• A holographic study of the characteristics of chaos and correlation in the presence of backreaction
• Boundary entropy under ambient RG flow in the AdS/BCFT model
• Observations on BPS observables in 6d
• Holographic Entanglement Entropy of the Coulomb Branch
• M2-doughnuts
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• BPS surface operators and calibrations
• Flavors of entanglement
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Entanglement and Excitations in Gauge/Gravity Duality