Making Traversible wormholes Understanding global AdS2 (Lecture - 03) by Juan Maldacena

INFOSYS-ICTS CHANDRASEKHAR LECTURES

MAKING TRAVERSIBLE WORMHOLES UNDERSTANDING GLOBAL ADS2

SPEAKER: Juan Maldacena (Institute for Advanced Studies in Princeton, NJ)

DATE :24 May 2018, 09:30

VENUE:Ramanujan Lecture Hall, ICTS Bangalore
RESOURCES

GALLERY
Lecture 1: May 22, 2018 Tuesday (4pm)

Title: Quantum mechanics and the geometry of spacetime.

Abstract:

Black holes are fascinating objects which pose interesting puzzles for quantum physics. Studying these puzzles we are led to quantum mechanical models that describe special black holes as seen from the outside. Extrapolating from these descriptions we are lead to the idea that entanglement can create geometric connections or wormholes. Moreover, quantum teleportation can be interpreted as travelling through the wormhole.

Lecture 2: May 23, 2018 Wednesday (9.30am)

Title: The SYK model and Ads2

Lecture 3: May 24, 2018 Thursday (9.30am)

Title: Making Traversible wormholes Understanding global AdS2

Abstract:

We will review the Sachdev Ye Kitaev model and describe how it shares some features with nearly extremal black holes.
We also describe the dynamics of nearly extremal black holes.
We will go over different physical phenomena, including chaos, quantum teleportation, etc, and their common manifestation in these two systems.


This lecture series is part of the discussion meeting "AdS/CFT at 20 and Beyond".

Table of Contents (powered by https://videoken.com)
0:00:00 Making traversable wormholes Understanding global Ads2
0:02:06 AdS2 : A traversable wormhole
0:02:13 AdS2 - thermal (Rindler) coordinates
0:04:09 AdS2 vs NAdS2 asymptotic boundary conditions
0:05:46 First recall some facts about nearly AdS, boundary conditions...
0:05:50 Nearly AdS2 gravity
0:06:12 Gravitational dynamics
0:09:15 We will look at a simple example
0:09:46 In parallel we will look at a similar problem in the SYK model.
0:09:53 Sachdev, Ye, Kitaev model (SYK)
0:10:03 Two copies of SYK + Interaction
0:16:40 is a solution of the equations of motion
0:18:30 Nearly AdS2
0:21:04 Spectrum reflects the conformal symmetry
0:22:57 It is a bit like the Zeeman effect in atomic physics where an atom with non-zero spin,
0:23:11 In SYK we can also solve the theory beyond the low energy limit.
0:23:22 SYK analysis
0:23:49 For usual SYK
0:23:52 Simplest ansatz
0:23:55 Finite temperature SYK case, large
0:24:49 Qualitative gravity picture
0:26:15 Numerical Analysis
0:26:19 Making the TFD
0:26:52 Conclusions
0:29:02 Wormholes in four dimensions
0:29:19 Based on work in progress with:
0:29:24 Drawing by John Wheeler, 1966
0:29:58 There are no science fiction wormholes!
0:31:05 Longer wormholes
0:31:45 Negative energy from quantum mechanics
0:32:57 Some necessary elements
0:33:32 The theory
0:34:13 The first solution
0:35:13 Motion of charged fermions
0:37:26 AdS2
0:38:50 Connect a pair black holes
0:39:48 Fermion trajectories
0:40:19 Casimir energy
0:41:10 Finding the solution
0:42:45 Adding rotation
0:43:13 Some necessary inequalities
0:46:21 Final solution
0:47:34 It could exist if nature is described by the Standard Model at short distances and is smaller than the electroweak scale,
0:48:52 How can we steer the system into this solution?
0:50:12 They are connected through a wormhole!
0:52:40 Q&A

Видео Making Traversible wormholes Understanding global AdS2 (Lecture - 03) by Juan Maldacena канала International Centre for Theoretical Sciences