Making Traversable Wormholes - Understanding Global AdS2 by Juan Maldacena

Making Traversable Wormholes - Understanding Global AdS2 by Juan Maldacena

International Centre for Theoretical Sciences via YouTube Direct link

DATE :24 May 2018,

1 of 47

1 of 47

DATE :24 May 2018,

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Making Traversable Wormholes - Understanding Global AdS2 by Juan Maldacena

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

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