| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Our main achievements are as followings: 1. We obtained the quantum gravity partition function for 3D pure gravity by conducting the path integral exactly under some assumption. 2. Using gauge/gravity correspondence, we found new novel gravitational solutions which are gravitational dual to the persistent superconductor currents along the direction with no translational symmetry. 3. We calculated the entanglement entropy in 1+1-dimensional SU(N) gauge theories with various matter fields using the lattice regularization and extended Hilbert space definition for entanglement entropy. We clarify the physical interpretation of all of the contributions for the entanglement entropy. 4. We compute the mutual information of two Hawking particles emitted consecutively by an evaporating black hole. We find that the mutual information is exponentially small but nonzero and we speculate on implications for black hole unitarity, in particular on a possible failure of locality at large distances.
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