A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-geometry string backgrounds.
A finite entanglement entropy and the c-theorem
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a mixed density matrix with non zero entropy. This is usually called entanglement entropy, and it is known to be divergent in quantum field theory (QFT). However, it is possible to define a finite quantity F(A,B) for two given different subsets A and B which measures the degree of entanglement between their respective degrees of freedom. We show that the function F(A,B) is severely constrained by the Poincare symmetry and the mathematical properties of the entropy. In particular, for one component sets in two dimensional conformal field theories its general form is completely determined. Moreover, it allows to prove an alternative entropic version of the c-theorem for 1+1 dimensional QFT. We propose this well defined quantity as the meaningfull entanglement entropy and comment on possible applications in QFT and the black hole evaporation problem.
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In top-down holographic models, monopole-induced diagonal symmetry causes dilaton fluctuations to mix SU(2) gauge and SO(3) isometry angular momenta, reproducing the Jackiw-Rebbi-Hasenfratz-'t Hooft spin-from-isospin mechanism.
Holographic models of interface CFTs connect the effective central charge in entanglement entropy to a limiting case of boundary entropy, while adding finite terms for non-crossing intervals to satisfy strong subadditivity.
Derives conditions for TEE probes, generalizes cyclic and multi-information quantities, and verifies holographic entropy inequalities for gapped topological states.
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
citing papers explorer
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Covariant unification of holographic c-functions
A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-geometry string backgrounds.
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(Iso)spin from Isospin in Top-Down Holography
In top-down holographic models, monopole-induced diagonal symmetry causes dilaton fluctuations to mix SU(2) gauge and SO(3) isometry angular momenta, reproducing the Jackiw-Rebbi-Hasenfratz-'t Hooft spin-from-isospin mechanism.
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Connecting boundary entropy and effective central charge at holographic interfaces
Holographic models of interface CFTs connect the effective central charge in entanglement entropy to a limiting case of boundary entropy, while adding finite terms for non-crossing intervals to satisfy strong subadditivity.
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Topological entanglement entropy meets holographic entropy inequalities
Derives conditions for TEE probes, generalizes cyclic and multi-information quantities, and verifies holographic entropy inequalities for gapped topological states.
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Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.