’t Hooft anomalies and boundaries

Jensen, Kristan; Shaverin, Evgeny; Yarom, Amos

doi:10.1007/jhep01(2018)085

Cited by 31 publications

(39 citation statements)

References 45 publications

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“…It has important applications in quantum field theory, string theory and condensed matter physics. For interesting developments of BCFT and related topics please see [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]. In the spirit of AdS/CFT [20], Takayanagi [21] proposes to extend the d dimensional manifold M to a d + 1 dimensional asymptotically AdS space N so that ∂N = M ∪ Q, where Q is a d dimensional manifold which satisfies ∂Q = ∂M = P .…”

Section: Introductionmentioning

confidence: 99%

Holographic BCFT with Dirichlet boundary condition

Miao

2019

J. High Energ. Phys.

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Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that Dirichlet boundary condition works as well as Neumann boundary condition. For instance, it includes AdS solution and obeys the g-theorem. Furthermore, it can produce the correct expression of one point function, the boundary Weyl anomaly and the universal relations between them. We also study the relative boundary condition for gauge fields, which is the counterpart of Dirichlet boundary condition for gravitational fields. Interestingly, the fourdimensional Reissner-Nordström black hole with magnetic charge is an exact solution to relative boundary condition under some conditions. This holographic model predicts that a constant magnetic field in the bulk can induce a constant current on the boundary in three dimensions. We suggest to measure this interesting boundary current in materials such as the graphene. *

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Section: Introductionmentioning

confidence: 99%

Holographic BCFT with Dirichlet boundary condition

Miao

2019

J. High Energ. Phys.

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“…In addition to traditional field theory techniques, see, e.g. [48][49][50][51][52][53][54][55], the need of a non-perturbative approach using symmetries or dualities is evident. A non-perturbative holographic dual description to BCFT was initiated by Takayanagi in [56] and later developed for general shape of boundary geometry in [57,58].…”

Section: Introductionmentioning

confidence: 99%

Boundary string current & Weyl anomaly in six-dimensional conformal field theory

Chu

Miao

2019

J. High Energ. Phys.

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It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum [1]. It was also shown that this "magnetic Casimir effect" of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system [2]. In this paper, we generalize this four dimensional effect to six dimensions. We use the AdS/BCFT holography to show that in the presence of a 3-form magnetic field strength H, a string current is induced in a six dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six dimensional conformal field theory in a H-flux background. For the (2,0) superconformal field theory of N M5-branes, the current has a magnitude proportional to N 3 for large N . This suggests that the degree of freedoms scales as N 3 in the (2,0) superconformal theory of N multiple M5-branes. The prediction we have for the Weyl anomaly is a new criteria that the (2,0) theory should satisfy.

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“…In addition to traditional field theory techniques, see, e.g. [63,65,[69][70][71][72][73][74], the need of a non-perturbative approach using symmetries or dualities is evident. A non-perturbative holographic dual description to BCFT was initiated by Takayanagi in [54] and later developed for general shape of boundary geometry in [55,56].…”

Section: Holographic Boundary Conformal Field Theorymentioning

confidence: 99%

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

Chu

2019

Fortschritte der Physik

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It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non‐uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum. It was also shown that this ‘magnetic Casimir effect’ of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system. In this article, we review the derivation of this phenomena from QFT as well as the derivation of it using AdS/BCFT. We then generalize this four dimensional effect to six‐dimensions. We use the AdS/BCFT holography to show that in the presence of a 3‐form magnetic field strength H, a string current is induced in a six‐dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six‐dimensional conformal field theory in a H‐flux background. For the (2,0) superconformal field theory of N M5‐branes, the current has a magnitude proportional to N3 for large N. This suggests that the degree of freedoms scales as N3 in the (2,0) superconformal theory of N multiple M5‐branes. Our result for the Weyl anomaly is a new prediction for the (2,0) theory.

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’t Hooft anomalies and boundaries

Cited by 31 publications

References 45 publications

Holographic BCFT with Dirichlet boundary condition

Holographic BCFT with Dirichlet boundary condition

Boundary string current & Weyl anomaly in six-dimensional conformal field theory

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

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