| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
There are two main achievements of the prensent project. One of them is to deepen the conjectured interpretation of AdS/CFT correspondence as the multi-scale entanglement renormalization (MERA). We especially analyzed a continuum limit of MERA (called cMERA) and found that the spacetime metric in the gravity dual of AdS/CFT is related to the information metric in cMERA. Also we formulated cMERA at a finite temperature using the thermofield double construction. Another achievement is that we discovered a basic property which entanglement entropy of an excited state satisfies. We showed that when the excitation is small or equally when the size of subsystem for which we defined the entanglement entropy, is small, the entanglement entropy of the excited state satisfies a law which is very similar to the first law of thermodynamics.
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