2017 Fiscal Year Final Research Report
Solving Condensed Matter, Nuclear and Gravity Problems via String and Gauge/Gravity Duality
| Project/Area Number |
25800143
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Osaka University (2014-2017)
Institute of Physical and Chemical Research (2013) |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2018-03-31
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| Keywords | ゲージ重力対応 / 弦理論 / 量子重力 |
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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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| Free Research Field |
弦理論
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