D3–D5 holography with flux

Grignani, G.; Kim, Namshik; Semenoff, Gordon W.

doi:10.1016/j.physletb.2012.07.026

Cited by 14 publications

(17 citation statements)

References 37 publications

(48 reference statements)

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“…If the boundary condition at infinity were different, so that the constant ψ = 0 everywhere were a solution, this solution would describe a D5-brane with flux in this geometry [42]. This is an interesting possibility, but not the one that we need here.…”

Section: Conformal Field Theorymentioning

confidence: 97%

“…This phenomenon is called magnetic catalysis [9]- [17]. The interesting question as to whether it persists at strong coupling has been addressed in some holographic models where it has indeed been found to occur, particularly in holographic D3-D5 systems [18]- [42]. However, it has proven to be more elusive in the D3-D7 system [8] and there are even cases of "anti-catalysis", suppression of a chiral condensate by a magnetic field [30] [31].…”

Section: Introductionmentioning

confidence: 99%

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D3-D7 holographic dual of a perturbed 3D CFT

Omid

Semenoff

2013

Phys. Rev. D

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An appropriately oriented D3-D7-brane system is the holographic dual of relativistic Fermions occupying a 2+1-dimensional defect embedded in 3+1-dimensional spacetime. The Fermions interact via fields of N = 4 Yang-Mills theory in the 3+1-dimensional bulk. Recently, using internal flux to stabilize the system in the probe N 7 << N 3 limit, a number of solutions which are dual to conformal field theories with Fermion content have been found. We use holographic techniques to study perturbations of a particular one of the conformal field theories by relevant operators. Generally, the response of a conformal field theory to such a perturbation grows and becomes nonperturbative at low energy scales. We shall find that a perturbation which switches on a background magnetic field B and Fermion mass m induces a renormalization group flow that can be studied perturbatively in the limit of small m 2 /B. We solve the leading order explicitly. We find that, for one particular value of internal flux, the system exhibits magnetic catalysis, the spontaneous breaking of chiral symmetry enhanced by the presence of the magnetic field. In the process, we derive formulae predicting the Debye screening length of the Fermion-antiFermion plasma at finite density and the diamagnetic moment of the ground state of the Fermion system in the presence of a magnetic field.

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Section: Conformal Field Theorymentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

D3-D7 holographic dual of a perturbed 3D CFT

Omid

Semenoff

2013

Phys. Rev. D

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“…Namely, we study the embedding equations obtained from the DBI action of the D5/D5-branes, and compare the free energies of the resulting configurations. This construction can potentially play a rôle in improving the understanding of dynamical symmetry breaking in graphene monolayers and bilayers, see e.g., [7,8] and references therein; the reader should also consult [9][10][11][12] for a recent related holographic model involving D7-branes, and a more detailed explanation of the relevance of holographic setups to learn some lessons about graphene bilayers.…”

Section: Jhep07(2014)043mentioning

confidence: 99%

“…The regularised free energy density of the U-shaped monolayer phase can be expressed as 12) while the regularised free energy density of the U-shaped bilayer phase is given by…”

Section: Zero Temperature and Zero Magnetic Fieldmentioning

confidence: 99%

“…The main advantage of the KlebanovWitten background, as opposed to the AdS 5 × S 5 background, is the fact that the D5/D5-brane configurations are stable without the necessity to stabilise them (see [9][10][11][12] for a related construction involving D7/D7-branes in the AdS 5 × S 5 background, where it is necessary to apply a pressure at the UV boundary to prevent the branes from annihilating and to keep them at a fixed separation).…”

Section: Jhep07(2014)043mentioning

confidence: 99%

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Holographic bilayer/monolayer phase transitions

Filev

Ihl

Zoakos

2014

J. High Energ. Phys.

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Abstract:In the present work, we discuss the phase structure of bilayer and monolayer phases in the (2+1)-dimensional defect field theory whose gravity dual is obtained by embedding D5/anti-D5 probe flavour branes in the singular conifold. We study in detail the embedding equations and compare the free energies of the resulting configurations at finite temperature and external magnetic field perpendicular to the defects. Moreover, we analyse the meson spectrum and confirm the stability of the single bilayer solution.

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Chiral primary one-point functions in the D3-D7 defect conformal field theory

Kristjansen¹,

Semenoff

Young

2013

J. High Energ. Phys.

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We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N = 4 SYM, which is dual to the SO(5) symmetric D3-D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU (2) and SU (3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO(6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations. *

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D3–D5 holography with flux

Cited by 14 publications

References 37 publications

D3-D7 holographic dual of a perturbed 3D CFT

D3-D7 holographic dual of a perturbed 3D CFT

Holographic bilayer/monolayer phase transitions

Chiral primary one-point functions in the D3-D7 defect conformal field theory

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