A conical deficit in the AdS
                    <sub>4</sub>
                    /CFT
                    <sub>3</sub>
                    correspondence

Ballon-Bayona, Alfonso; Ferreira, Cristine Nunes; Otoya, V. J. Vasquez

doi:10.1088/0264-9381/28/1/015011

Cited by 27 publications

(27 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In this case the parameter q need not to be close to the unity. The metric tensor corresponding to the line element (1) is an exact solution of the Einstein equation in the presence of a negative cosmological constant and the string [39,40], for arbitrary values of q.…”

Section: Fermionic Wave-functionsmentioning

confidence: 99%

See 2 more Smart Citations

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Mello

Medeiros

Saharian

2013

Class. Quantum Grav.

View full text Add to dashboard Cite

In this paper we investigate the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor, associated with a massive fermionic field, induced by the presence of a cosmic string in the anti-de Sitter (AdS) spacetime. In order to develop this analysis we construct the complete set of normalized eigenfunctions in the corresponding spacetime. We consider a special case of boundary conditions on the AdS boundary, when the MIT bag boundary condition is imposed on the field operator at a finite distance from the boundary, which is then taken to zero. The FC and the VEV of the energy-momentum tensor are decomposed into the pure AdS and string-induced parts. Because the analysis of one-loop quantum effects in the AdS spacetime has been developed in the literature, here we are mainly interested to investigate the influence of the cosmic string on the VEVs. The string-induced part in the VEV of the energymomentum tensor is diagonal and the axial and radial stresses are equal to the energy density. For points near the string, the effects of the curvature are subdominant and to leading order, the VEVs coincide with the corresponding VEVs for the cosmic string in Minkowski bulk. At large proper distances from the string, the decay of the VEVs show a power-law dependence of the distance for both massless and massive fields. This is in contrast to the case of Minkowski bulk where, for a massive field, the string-induced parts decay exponentially.

show abstract

Section: Fermionic Wave-functionsmentioning

confidence: 99%

“…As to the integral of the last term, we can adopt a procedure similar to that used in the obtainment of (40). The result is,…”

Section: Energy-momentum Tensormentioning

confidence: 99%

See 1 more Smart Citation

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Mello

Medeiros

Saharian

2013

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…Classical and quantum scalar field theories on a cone have been considered in several papers starting from [23] and scalar fields in the flat space with defects have been studied in [24]. The cosmic strings in the flat M 4 and AdS 4 provide four-dimensional generalization [25][26][27], while the cosmic membranes provide higher dimensional generalization of conical defect in the context of the TeV-gravity [28].…”

Section: Introductionmentioning

confidence: 99%

(1+1)-Correlators and moving massive defects

2016

View full text Add to dashboard Cite

Abstract:We study correlation functions of scalar operators on the boundary of the AdS 3 space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic approximation and the renormalized image method. We compare results of the renormalized image method with direct calculations using tracing of winding geodesics around the cone singularities, and show on examples that they are equivalent. We demonstrate that in the geodesic approximation the correlators exhibit a zone structure. This structure substantially depends on the mass and velocity of the particle.

show abstract

“…We expect that our results would be useful in several holographic models that are derived from String Theory. A future direction in our approach would be to extend the expansion method for the case of backgrounds with conical deficits (see for instance [16]). …”

Section: Discussionmentioning

confidence: 99%

DBI equations and holographic dc conductivity

Ballon-Bayona¹,

Ferreira

Otoya

2013

Phys. Rev. D

View full text Add to dashboard Cite

We provide a simple method for writing the Dirac-Born-Infeld (DBI) equations of a Dp-brane in an arbitrary static background whose metric depends only on the holographic radial coordinate z. Using this method we revisit the Karch-O'Bannon's procedure to calculate the DC conductivity in the presence of constant electric and magnetic fields for backgrounds where the boundary is four or three dimensional and satisfies homogeneity and isotropy. We find a frame-independent expression for the DC conductivity tensor. For particular backgrounds we recover previous results on holographic metals and strange metals.

show abstract

A conical deficit in the AdS ₄ /CFT ₃ correspondence

Cited by 27 publications

References 26 publications

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

(1+1)-Correlators and moving massive defects

DBI equations and holographic dc conductivity

Contact Info

Product

Resources

About

A conical deficit in the AdS 4 /CFT 3 correspondence

Cited by 27 publications

References 26 publications

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

(1+1)-Correlators and moving massive defects

DBI equations and holographic dc conductivity

Contact Info

Product

Resources

About

A conical deficit in the AdS ₄ /CFT ₃ correspondence