Wormholes & Holography: An Introduction

Abstract

Wormholes are intriguing classical solutions in General Relativity, that have fascinated theoretical physicists for decades. In recent years, gravitational Wormhole geometries have found a new life in many theoretical ideas, especially in Holography. This is an introductory and pedagogical review of Wormholes and their recent applications in Gauge-Gravity duality and related ideas.

Baby universes, ensemble averages and factorizations with matters

“…In particular, the wormhole saddle is perhaps the most mysterious one and has recently attracted much attention see e.g. [14,15] for recent reviews. Wormholes are configurations connecting remote spacetime regions.…”

Quantum Information Scrambling: From Holography to Quantum Simulators

“…We below quote the isometry generators by solving the Killing equation and we quote the 19 We can use other coordinates also. For a detailed review please refer to [4,107] result below [78,113,255,256].…”

Traversable wormholes with like-Casimir complexity supported with arbitrarily small amount of exotic matter

“…from where is clear that b > 0 for r ∈ [r 0 , ∞). The requirement of a throat entails that the wormhole geometry must be endowed with a radius r = b 0 where the r (z) is a minimum, namely dz/dr → ∞ as r → b 0 and from (10) it occurs when b = r . In this regard, the existence of a minimum radius requires that at r = b 0 the shape function must be b = b 0 .…”

“…In this regard, given the (theoretical) feasibility of wormholes, the seeking for such geometries is still an active research line (see [3,5] for a self-contained discussion on wormhole. Also see [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], for recent developments).…”