Explore the fascinating world of traversable wormholes and global AdS2 in this advanced physics lecture by renowned physicist Juan Maldacena. Delve into the intricacies of the Sachdev-Ye-Kitaev (SYK) model and its connections to nearly extremal black holes. Examine the dynamics of AdS2 and NAdS2, including thermal coordinates and asymptotic boundary conditions. Investigate the gravitational dynamics and conformal symmetry in these systems, drawing parallels to atomic physics. Learn about the creation of traversable wormholes in four dimensions, including necessary conditions, theoretical foundations, and potential real-world implications. Discover how quantum mechanics and negative energy play crucial roles in wormhole physics. Analyze fermion trajectories, Casimir energy, and the effects of rotation on wormhole solutions. Gain insights into cutting-edge research on connecting black hole pairs through wormholes and the possibilities for steering systems into these exotic configurations.
Making Traversable Wormholes - Understanding Global AdS2 by Juan Maldacena
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
DATE :24 May 2018,
Making traversable wormholes Understanding global Ads2
AdS2 : A traversable wormhole
AdS2 - thermal Rindler coordinates
AdS2 vs NAdS2 asymptotic boundary conditions
First recall some facts about nearly AdS, boundary conditions...
Nearly AdS2 gravity
Gravitational dynamics
We will look at a simple example
In parallel we will look at a similar problem in the SYK model.
Sachdev, Ye, Kitaev model SYK
Two copies of SYK + Interaction
is a solution of the equations of motion
Nearly AdS2
Spectrum reflects the conformal symmetry
It is a bit like the Zeeman effect in atomic physics where an atom with non-zero spin,
In SYK we can also solve the theory beyond the low energy limit.
SYK analysis
For usual SYK
Simplest ansatz
Finite temperature SYK case, large
Qualitative gravity picture
Numerical Analysis
Making the TFD
Conclusions
Wormholes in four dimensions
Based on work in progress with:
Drawing by John Wheeler, 1966
There are no science fiction wormholes!
Longer wormholes
Negative energy from quantum mechanics
Some necessary elements
The theory
The first solution
Motion of charged fermions
AdS2
Connect a pair black holes
Fermion trajectories
Casimir energy
Finding the solution
Adding rotation
Some necessary inequalities
Final solution
It could exist if nature is described by the Standard Model at short distances and is smaller than the electroweak scale,
How can we steer the system into this solution?
They are connected through a wormhole!
Q&A
Taught by
International Centre for Theoretical Sciences
