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Some necessary inequalities
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Making Traversable Wormholes - Understanding Global AdS2 by Juan Maldacena
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- 1 DATE :24 May 2018,
- 2 Making traversable wormholes Understanding global Ads2
- 3 AdS2 : A traversable wormhole
- 4 AdS2 - thermal Rindler coordinates
- 5 AdS2 vs NAdS2 asymptotic boundary conditions
- 6 First recall some facts about nearly AdS, boundary conditions...
- 7 Nearly AdS2 gravity
- 8 Gravitational dynamics
- 9 We will look at a simple example
- 10 In parallel we will look at a similar problem in the SYK model.
- 11 Sachdev, Ye, Kitaev model SYK
- 12 Two copies of SYK + Interaction
- 13 is a solution of the equations of motion
- 14 Nearly AdS2
- 15 Spectrum reflects the conformal symmetry
- 16 It is a bit like the Zeeman effect in atomic physics where an atom with non-zero spin,
- 17 In SYK we can also solve the theory beyond the low energy limit.
- 18 SYK analysis
- 19 For usual SYK
- 20 Simplest ansatz
- 21 Finite temperature SYK case, large
- 22 Qualitative gravity picture
- 23 Numerical Analysis
- 24 Making the TFD
- 25 Conclusions
- 26 Wormholes in four dimensions
- 27 Based on work in progress with:
- 28 Drawing by John Wheeler, 1966
- 29 There are no science fiction wormholes!
- 30 Longer wormholes
- 31 Negative energy from quantum mechanics
- 32 Some necessary elements
- 33 The theory
- 34 The first solution
- 35 Motion of charged fermions
- 36 AdS2
- 37 Connect a pair black holes
- 38 Fermion trajectories
- 39 Casimir energy
- 40 Finding the solution
- 41 Adding rotation
- 42 Some necessary inequalities
- 43 Final solution
- 44 It could exist if nature is described by the Standard Model at short distances and is smaller than the electroweak scale,
- 45 How can we steer the system into this solution?
- 46 They are connected through a wormhole!
- 47 Q&A
