Wormholes & Holography: An Introduction

Abstract

Wormholes are intriguing classical solutions in General Relativity, that have fascinated theoretical physicists for decades. In recent years, especially in Holography, gravitationalWormhole geometries have found a new life in many theoretical ideas related to quantum aspects of gravity. These ideas primarily revolve around aspects of quantum entanglement and quantum information in (semi-classical) gravity. This is an introductory and pedagogical review of Wormholes and their recent applications in Gauge-Gravity duality and related ideas.

arXiv comment89 pages, multiple figures. Improved discussions, especially section 2. Minor errors corrected, typos fixed. Published in EPJC

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• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Holographic spacetime, black holes and quantum error correcting codes: A review
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• Quantum Information Scrambling: From Holography to Quantum Simulators
• Rotating traversable wormholes in Einstein-Maxwell theory
• Bridging the static patches: de Sitter holography and entanglement
• Berry phases, wormholes and factorization in AdS/CFT
• A 10d construction of Euclidean axion wormholes in flat and AdS space
• Lorentzian wormhole in the framework of loop quantum cosmology
• Nonassociative geometric and quantum information flows and R-flux deformations of wormhole solutions in string gravity
• Vacuum-defect wormholes and a mirror world
• Dark energy and dark matter configurations for wormholes and solitionic hierarchies of nonmetric Ricci flows and $F(R,T,Q,T_m)$ gravity
• Black hole-wormhole collisions and the emergence of islands
• Worldsheet traversable wormholes
• Quantum chaos in the presence of non-conformality
• New rotating Lorentzian wormhole spacetime
• Hybrid quantum states in 2d dilaton gravity
• Notes on Wormhole Cancellation and Factorization
• Traversable wormholes via a double trace deformation involving $U(1)$ conserved current operators
• Hyperbolic Casimir-like wormhole
• On SYK traversable wormhole with imperfectly correlated disorders
• Non-trivial saddles in microscopic description of black holes
• Editorial: New Frontiers in Holographic Duality -- From quantum complexity and black holes to hydrodynamics and neutron stars
• Investigating the role of mutual information in the Page curve for a functional renormalization group improved Schwarzschild black hole
• The quantum non-linear $\sigma$-model RG flow and integrability in wormhole geometries