Entanglement entropy and differential entropy for massive flavors
Entanglement entropy and differential entropy for massive flavors
In this paper we compute the holographic entanglement entropy for massive flavors in the D3-D7 system, for arbitrary mass and various entangling region geometries. We show that the universal terms in the entanglement entropy exactly match those computed in the dual theory using conformal perturbation theory. We derive holographically the universal terms in the entanglement entropy for a CFT perturbed by a relevant operator, up to second order in the coupling; our results are valid for any entangling region geometry. We present a new method for computing the entanglement entropy of any top-down brane probe system using Kaluza-Klein holography and illustrate our results with massive flavors at finite density. Finally we discuss the differential entropy for brane probe systems, emphasising that the differential entropy captures only the effective lower-dimensional Einstein metric rather than the ten-dimensional geometry.
gauge-gravity correspondence, AdS-CFT correspondence
1-53
Jones, Peter
58b92f6d-0f66-43fa-bfa2-fcfbefd86535
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
August 2015
Jones, Peter
58b92f6d-0f66-43fa-bfa2-fcfbefd86535
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Jones, Peter and Taylor, Marika
(2015)
Entanglement entropy and differential entropy for massive flavors.
Journal of High Energy Physics, 2015 (14), .
(doi:10.1007/JHEP08(2015)014).
Abstract
In this paper we compute the holographic entanglement entropy for massive flavors in the D3-D7 system, for arbitrary mass and various entangling region geometries. We show that the universal terms in the entanglement entropy exactly match those computed in the dual theory using conformal perturbation theory. We derive holographically the universal terms in the entanglement entropy for a CFT perturbed by a relevant operator, up to second order in the coupling; our results are valid for any entangling region geometry. We present a new method for computing the entanglement entropy of any top-down brane probe system using Kaluza-Klein holography and illustrate our results with massive flavors at finite density. Finally we discuss the differential entropy for brane probe systems, emphasising that the differential entropy captures only the effective lower-dimensional Einstein metric rather than the ten-dimensional geometry.
Text
1505.07697.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 13 July 2015
e-pub ahead of print date: 4 August 2015
Published date: August 2015
Keywords:
gauge-gravity correspondence, AdS-CFT correspondence
Organisations:
Applied Mathematics
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Local EPrints ID: 385158
URI: http://eprints.soton.ac.uk/id/eprint/385158
PURE UUID: c7e59d69-c988-4e55-ae56-0cdfa0db2d49
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Date deposited: 18 Jan 2016 09:35
Last modified: 15 Mar 2024 03:42
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Author:
Peter Jones
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