Thin-shell wormholes in AdS${}_5$ and string dioptrics

Abstract

We consider string probes in a traversable wormhole geometry that connects two locally AdS${}_5$ asymptotic regions. Holographically, this describes two interacting copies of a 4-dimensional gauge theory. We consider string configurations whose endpoints are located either in the same boundary or in the two different boundaries of the wormhole. A string with both endpoints in the same boundary is dual to a quark-antiquark pair charged under the same gauge field, while a string extending through the wormhole describes a pair of colored particles charged under two different gauge fields. When one considers a quark-antiquark pair in each boundary, the system undergoes a phase transition: While for small separation each pair of charges exhibits Coulomb interaction, for large separation the charges in different field theories pair up. This behavior had previously been observed in other geometric realizations such as locally AdS${}_5$ wormhole solutions with hyperbolic throats. The geometries we consider here, in contrast, are stable thin-shell wormholes with flat codimension-one hypersurfaces at fixed radial coordinate. They appear as electrovacuum solutions of higher-curvature gravity theories coupled to Abelian gauge fields. The presence of the thin-shells produces a refraction of the string configurations in the bulk, leading to the presence of cusps in the phase space diagram. We discuss these and other features of the phase diagram, including the analogies and difference with other wormhole solutions considered in related contexts.

arXiv comment24 pages, 6 figures

References in corpus (48)

• Gauge Theory Correlators from Non-Critical String Theory
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Wilson loops in large N field theories
• Aspects of Holographic Entanglement Entropy
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Eternal Black Holes in AdS
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Cool horizons for entangled black holes
• Generalized gravitational entropy
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• Drag force in AdS/CFT
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity Bound Violation in Higher Derivative Gravity
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Viscosity Bound and Causality Violation
• Traversable Wormholes via a Double Trace Deformation
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• Wilson Loops in the Large N Limit at Finite Temperature
• Generalized entropy and higher derivative Gravity
• An AdS/CFT Calculation of Screening in a Hot Wind
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Causality of Holographic Hydrodynamics
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Static wormhole solution for higher-dimensional gravity in vacuum
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
• Causality in AdS/CFT and Lovelock theory
• Birkhoff's theorem in Lovelock gravity
• Lovelock theories, holography and the fate of the viscosity bound
• Holographic thermalization with a chemical potential in Gauss-Bonnet gravity
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Lovelock theory and the AdS/CFT correspondence
• Quantum Fluctuations and the Unruh Effect in Strongly-Coupled Conformal Field Theories
• Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• A Tail of a Quark in N=4 SYM
• Generalized phase transitions in Lovelock gravity
• New type of phase transition in gravitational theories
• Lorentzian AdS, Wormholes and Holography
• Higher curvature wormholes
• Strings on AdS Wormholes
• Probing AdS Wormholes by Entanglement Entropy
• Strings on AdS Wormholes and Nonsingular Black Holes

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