Flavors of entanglement
arxiv(2024)
摘要
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 - 𝒩=1 Klebanov-Witten theory, 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.
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