A conical deficit in the AdS4/CFT3 correspondence

Abstract

Inspired by the AdS/CFT correspondence we propose a new duality that allow the study of strongly coupled field theories living in a 2+1 conical space-time. Solving the 4-d Einstein equations in the presence of an infinite static string and negative cosmological constant we obtain a conical AdS4 space-time whose boundary is identified with the 2+1 cone found by Deser, Jackiw and 't Hooft. Using the AdS4/CFT3 correspondence we calculate retarded Green's functions of scalar operators living in the cone.

v3, 14 pages. We reinterpret our results for the Green's functions in the cone

References in corpus (16)

• The electronic properties of graphene
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Lectures on holographic methods for condensed matter physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Lectures on Holographic Superfluidity and Superconductivity
• Mesons in Gauge/Gravity Duals - A Review
• Exact Description of Black Holes on Branes
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Chiral Gauge Theory for Graphene
• Topological Phases in Graphitic Cones
• Electronic properties of graphene with a topological defect
• Quantum effects near a point mass in 2+1 dimensional gravity
• Vortex Holography
• Abelian Higgs Hair for AdS-Schwarzschild Black Hole

Cited by in corpus (14)

• Charged accelerating black hole in $f(R)$ gravity
• Vacuum polarization by a flat boundary in cosmic string spacetime
• AdS/CFT prescription for angle-deficit space and winding geodesics
• Holographic Dual to Conical Defects: I. Moving Massive Particle
• Holographic Dual to Conical Defects III: Improved Image Method
• Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime
• Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
• Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string
• Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk
• Induced current by a cosmic string and a brane in high-dimensional AdS spacetime
• DBI equations and holographic DC conductivity
• Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
• On the Thermodynamical Black Hole Stability in the Space-time of a Global Monopole in $f(R)$-Gravity
• Null hypersurface caustics and super-entropic black holes