Complex Langevin Simulations of the Matrix Model for Superstrings by Jun Nishimura

Complex Langevin Simulations of the Matrix Model for Superstrings by Jun Nishimura

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Complex Langevin Simulations of the Matrix Model for Superstrings by Jun Nishimura

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  1. 1 04:30 pm, 19 JANUARY 2021
  2. 2 Complex Langevin simulations of the matrix model for superstrings
  3. 3 IKKT matrix model
  4. 4 Crucial properties of the IKKT matrix model
  5. 5 3. Emergence of 3+1-dim. expanding behavior 4.
  6. 6 1. Definition of the Lorentzian IKKT matrix model
  7. 7 Lorentzian Euclidean
  8. 8 Regularizing the Lorentzian model
  9. 9 IR cutoffs as a regularization
  10. 10 The phase diagram we consider in this talk
  11. 11 2. Complex Langevin method
  12. 12 The complex Langevin method
  13. 13 Complex Langevin equation
  14. 14 3. Emergence of 3+1-dimensional expanding behavior
  15. 15 Results at s,k=-1,0
  16. 16 Extracting time-evolution from the Lorentzian model
  17. 17 Emergence of 3+1-dim. expanding behavior
  18. 18 Confirmation of the mechanism
  19. 19 4. Emergence of a smooth space-time in a new phase
  20. 20 Exploring the phase diagram towards s, k = 0, 0
  21. 21 Extracting time-evolution from the Lorentzian model
  22. 22 A new phase appears at -1 0
  23. 23 Results at larger N
  24. 24 Expanding behavior at s,k=0,0 resembles that of typical classical solutions
  25. 25 5. Relationship of the new phase to the Euclidean model
  26. 26 The new phase is smoothly connected to the Euclidean model
  27. 27 Confirmation of continuity by CL simulation without IR constraints
  28. 28 6. Summary and Discussions
  29. 29 Summary
  30. 30 Discussions
  31. 31 SSB of SO10 observed by decreasing the deformation parameter mf.
  32. 32 In the Lorentzian case,
  33. 33 Summary
  34. 34 Expanding behavior at s,k=0,0 resembles that of typical classical solutions
  35. 35 Confirmation of continuity by CL simulation without IR constraints
  36. 36 SSB of SO10 observed by decreasing the deformation parameter mf.

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