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