Flavors of entanglement

Abstract

We employ holography to investigate Liu-Mezei renormalization group monotones in conformal field theories influenced by massive flavor degrees of freedom. We examine the entanglement entropy of a spherical subregion in three holographic field theories - $\mathcal{N}=1$ Klebanov-Witten theory, $\mathcal{N}=4$ SYM theory, and ABJM theory - with fundamental flavor. The gravity dual of massive unquenched flavor is described by dynamical D-branes, and we solve their backreaction in the smeared approximation. We compute entanglement entropy using the Ryu-Takayanagi formula in these backreacted geometries. Our findings indicate that the Liu-Mezei A- and F-functions decrease monotonically to leading order in the number of flavors across all examples. Additionally, we calculate the leading flavor contribution to entanglement entropy using an alternative probe brane method that does not require knowledge of backreaction in the bulk geometries. These results consistently match with backreacted calculations in all cases, assuming omission of a specific IR boundary term stemming from a total derivative.

71 pages, 3 figures, 5 appendices, matches the published version

References in corpus (18)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Towards a derivation of holographic entanglement entropy
• Entanglement entropy, conformal invariance and extrinsic geometry
• ABJM with Flavors and FQHE
• Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
• Klebanov-Witten theory with massive dynamical flavors
• D3-D5 theories with unquenched flavors
• Gravity dual of a multilayer system
• Democratic actions for type II supergravities
• Anisotropic Flows into Black Holes
• On type IIB supergravity action on $M^5\times X^5$ solutions
• Risking your NEC
• On-Shell Action for Type IIB Supergravity and Superstrings on $Ad{S}_5\times S^5$
• Holographic Entanglement Entropy of the Coulomb Branch
• Flavored anisotropic black holes
• Flavored ABJM theory on the sphere and holographic F-functions
• Gravity duals for defect quivers in the Veneziano limit
• Multiple backreacted flavour branes

Cited by in corpus (1)

• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory