2012 Fiscal Year Final Research Report
Mathematical Aspects of Open String Theory and its Applications
| Project/Area Number |
21740179
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Nagoya University |
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Principal Investigator |
FUJI Hiroyuki 名古屋大学, 理学研究科, 特任講師 (50391719)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 位相的弦理論 / 開弦理論 / 量子重力理論 |
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| Research Abstract |
In this research, I have focused on the mathematical aspects of the open string theory, and studied on the non-perturbative aspects of the quantum field theory and mathematical aspects of the string theory in particular for the relation with the geometry. In the physics side, I have mainly studied on the non-perturbative aspects of the quantum gravity on basis of the lattice model and AdS/CFT. In the mathematics side, I have found a novel quantum integrable structure of the knot invariants based on the topological string theory, and proposed a new topological invariant which arises from the categorification from the view point of the theoretical physics.
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