Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory

Gentle, Simon A.; Gutperle, Michael; Marasinou, Chrysostomos

doi:10.1007/jhep08(2015)019

Cited by 29 publications

(59 citation statements)

References 52 publications

(87 reference statements)

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“…We computed an effective central charge holographically in section 4.3 and found precise agreement with this coefficient. Indeed, the same agreement is found for the holographic description of a Wilson surface in the (2, 0) theory [29]. It would be very interesting to pursue this connection further and develop a 2D CFT description for both types of surface operator.…”

Section: Discussionsupporting

confidence: 72%

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Holographic entanglement entropy of surface defects

Gentle

Gutperle

Marasinou

2016

J. High Energ. Phys.

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We calculate the holographic entanglement entropy in type IIB supergravity solutions that are dual to half-BPS disorder-type surface defects in N = 4 supersymmetric Yang-Mills theory. The entanglement entropy is calculated for a ball-shaped region bisected by a surface defect. Using the bubbling supergravity solutions we also compute the expectation value of the defect operator. Combining our result with the previouslycalculated one-point function of the stress tensor in the presence of the defect, we adapt the calculation of Lewkowycz and Maldacena [1] to obtain a second expression for the entanglement entropy. Our two expressions agree up to an additional term, whose possible origin and significance is discussed.

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Section: Discussionsupporting

confidence: 72%

“…So one possibility is that either element should contribute an extra term to the thermal entropy in addition to those we considered. The same two elements were present in our previous calculations [29] for a Wilson surface in the six-dimensional (2, 0) theory.…”

Section: Discussionsupporting

confidence: 56%

Holographic entanglement entropy of surface defects

Gentle

Gutperle

Marasinou

2016

J. High Energ. Phys.

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“…A subset of the defects we study are expected to be one-half BPS Wilson surface operators [16][17][18], and in these cases our results reproduce the probe limit of the calculations in refs. [19,20]. We will also study solutions dual to defect renormalization group (RG) flows between these Wilson surfaces and conformal defects dual to bundles of M2-branes.…”

Section: A Defect Central Charge From Entanglement Entropymentioning

confidence: 99%

Holographic entanglement entropy from probe M-theory branes

Rodgers

2019

J. High Energ. Phys.

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We compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional N = (2, 0) superconformal field theory, holographically dual to probe M2-and M5-branes in AdS 7 × S 4 . In particular, we test the viability of the universal contribution of the defect to entanglement entropy as a candidate C-function. We find that this coefficient is not monotonic under defect renormalization group flows triggered by the vacuum expectation value of a marginal operator. Another candidate C-function, the on-shell action inside the entanglement wedge, monotonically decreases under the flows we study.

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“…Note that an analogous cutoff was also used to regulate holographic duals of surface operators, i.e. defects of higher co-dimensionality in [16,17].…”

Section: Introductionmentioning

confidence: 99%

Note on entanglement entropy and regularization in holographic interface theories

Gutperle

Trivella

2017

Phys. Rev. D

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We discuss the computation of holographic entanglement entropy for interface conformal field theories. The fact that globally well defined Fefferman-Graham coordinates are difficult to construct makes the regularization of the holographic theory challenging. We introduce a simple new cut-off procedure, which we call "double cut-off" regularization. We test the new cut-off procedure by comparing the results for holographic entanglement entropies using other cut-off procedures and find agreement. We also study three dimensional conformal field theories with a two dimensional interface.In that case the dual bulk geometry is constructed using warped geometry with an AdS 3 factor. We define an effective central charge to the interface through the BrownHenneaux formula for the AdS 3 factor. We investigate two concrete examples, showing that the same effective central charge appears in the computation of entanglement entropy and governs the conformal anomaly.

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Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory

Cited by 29 publications

References 52 publications

Holographic entanglement entropy of surface defects

Holographic entanglement entropy of surface defects

Holographic entanglement entropy from probe M-theory branes

Note on entanglement entropy and regularization in holographic interface theories

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