Flavor corrections to the entanglement entropy

Abstract

We consider the holographic entanglement entropy in N=4 SYM coupled to massive flavor degrees of freedom. The flavors are introduced by putting D7 branes in AdS_5. The resulting geometry including the backreaction of the branes is known in a perturbation expansion in the ratio N_f/N_c. We consider the expansion to first order, and compute the entanglement entropy of a region of the boundary. We consider two different cases for the geometry of the region: a slab and a ball. We find analytic solutions for the minimal surfaces in the bulk whose area gives the entropy, and analyze the structure of the UV divergence and the dependence on the masses. Our results confirm the general structure that was predicted by free field theory calculations, but with coefficients that depend on the coupling.

17 pages, 1 figure, references added

References in corpus (6)

• Towards a derivation of holographic entanglement entropy
• Generalized gravitational entropy
• Entanglement entropy, conformal invariance and extrinsic geometry
• Some Calculable Contributions to Entanglement Entropy
• D3-D7 Quark-Gluon Plasmas at Finite Baryon Density
• Unquenched massive flavors and flows in Chern-Simons matter theories

Cited by in corpus (15)

• Entanglement growth during thermalization in holographic systems
• Confinement, Phase Transitions and non-Locality in the Entanglement Entropy
• Holographic QCD with Dynamical Flavors
• Generalized gravitational entropy of probe branes: flavor entanglement holographically
• Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
• Entanglement of heavy quark impurities and generalized gravitational entropy
• Entanglement entropy and differential entropy for massive flavors
• A First Law of Entanglement Rates from Holography
• Entanglement entropy in top-down models
• Holographic entanglement entropy of surface defects
• Flavored N=4 SYM -- a highly entangled quantum liquid
• Holographic entanglement entropy for massive flavours in dS_4
• HEE and HSC for flavors: perturbative structure in open string geometries
• Flavors of entanglement
• Entanglement Entropy of $Ad{S}_5\times S^5$ with massive flavors