Holographic Entanglement Entropy of Mass-deformed ABJM Theory

Abstract

We investigate the effect of supersymmetry preserving mass deformation near the UV fixed point represented by the $\mathcal{N}=6$ ABJM theory. In the context of the gauge/gravity duality, we analytically calculate the leading small mass effect on the renormalized entanglement entropy (REE) for the most general Lin-Lunin-Maldacena (LLM) geometries in the cases of the strip and disk shaped entangling surfaces. Our result shows that the properties of the REE in (2+1)-dimensions are consistent with those of the $c$-function in (1+1)-dimensions. We also discuss the validity of our computations in terms of the curvature behavior of the LLM geometry in the large $N$ limit and the relation between the correlation length and the mass parameter for a special LLM solution.

23 pages, 3 figures

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Cited by in corpus (14)

• c-theorem of the entanglement entropy
• Holographic entanglement entropy in the nonconformal medium
• RG flow of entanglement entropy to thermal entropy
• Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
• Thermodynamic law from the entanglement entropy bound
• Logarithmic Corrections to the Entanglement Entropy
• Exact Holography of the Mass-deformed M2-brane Theory
• Information flows in strongly coupled ABJM theory
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Holographic entanglement entropy and generalized entanglement temperature
• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
• A Holographic Bound for D3-Brane
• Holography of Massive M2-brane Theory with Discrete Torsion
• Finite size effect on quantum correlations