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