| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Superstring theory is the most promising candidate for a unified theory including gravity. The IIB matrix model is expected to define superstring theory nonperturbatively. I studied the model by Monte Carlo simulation with a large scale parallel computation and obtained the results which suggest that the inflationary and radiation dominated universes emerge dynamically in the model. I developed a renormalization group method that enables us to effectively obtain results for a large matrix size by simulating the model with a small matrix size. I found how the model is independent of an infrared cutoff introduced to well-define the model. To gain insights into deriving geometry from matrices, I calculated entanglement entropy in a scalar field theory on the fuzzy sphere, which is realized by a matrix model, and obtained a generalized area law for entanglement entropy. By calculating correlation functions, I also showed that the theory is renormalizable.
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