| 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)
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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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