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 |
Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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Research Institution | Nagoya University |
Principal Investigator |
FUJI Hiroyuki 名古屋大学, 理学研究科, 特任講師 (50391719)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2011: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2010: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2009: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
|
Keywords | 位相的弦理論 / 開弦理論 / 量子重力理論 / 結び目不変量 / 体積予想 / 圏化 / 超多項式 / 弦理論 / 結び目理論 / 位相的場の理論 / インスタントン / 素粒子理論 / 数理物理 |
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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Report
(5 results)
Research Products
(37 results)