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04:30 pm, 19 JANUARY 2021
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Complex Langevin simulations of the matrix model for superstrings
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IKKT matrix model
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Crucial properties of the IKKT matrix model
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3. Emergence of 3+1-dim. expanding behavior 4.
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1. Definition of the Lorentzian IKKT matrix model
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Lorentzian Euclidean
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Regularizing the Lorentzian model
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IR cutoffs as a regularization
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The phase diagram we consider in this talk
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2. Complex Langevin method
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The complex Langevin method
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Complex Langevin equation
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3. Emergence of 3+1-dimensional expanding behavior
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Results at s,k=-1,0
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Extracting time-evolution from the Lorentzian model
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Emergence of 3+1-dim. expanding behavior
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Confirmation of the mechanism
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4. Emergence of a smooth space-time in a new phase
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Exploring the phase diagram towards s, k = 0, 0
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Extracting time-evolution from the Lorentzian model
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A new phase appears at -1 0
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Results at larger N
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Expanding behavior at s,k=0,0 resembles that of typical classical solutions
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5. Relationship of the new phase to the Euclidean model
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The new phase is smoothly connected to the Euclidean model
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Confirmation of continuity by CL simulation without IR constraints
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6. Summary and Discussions
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Summary
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Discussions
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SSB of SO10 observed by decreasing the deformation parameter mf.
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In the Lorentzian case,
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Summary
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Expanding behavior at s,k=0,0 resembles that of typical classical solutions
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Confirmation of continuity by CL simulation without IR constraints
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SSB of SO10 observed by decreasing the deformation parameter mf.
Description:
Explore complex Langevin simulations of the matrix model for superstrings in this comprehensive lecture by Jun Nishimura from the International Centre for Theoretical Sciences. Delve into the IKKT matrix model, its crucial properties, and the emergence of (3+1)-dimensional expanding behavior. Learn about the definition of the Lorentzian IKKT matrix model, regularization techniques, and the complex Langevin method. Discover the emergence of a smooth space-time in a new phase and its relationship to the Euclidean model. Gain insights into the phase diagram, time evolution extraction, and the spontaneous symmetry breaking of SO(10). This 89-minute talk covers advanced topics in nonperturbative approaches to quantum gravity, string theory, and holography, providing a deep dive into cutting-edge research in theoretical physics.

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

International Centre for Theoretical Sciences
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#Science #Physics #Theoretical Physics #String Theory #Materials Science #Phase Diagrams #Quantum Mechanics #Quantum Physics #Quantum Gravity #Quantum Field Theory #Lattice Field Theory
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04:30 pm, 19 JANUARY 2021