| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Research Abstract |
We have found a new relation of 3-dimensional gauge theory and3-dimensional hyperbolic geometry with Masahito Yamazaki in 2011. We have written a paper on the results. The paper has been published as Y. Terashima and M. Yamazaki, SL(2,R)Chern-Simons, Liouville, and Gauge Theories on Duality Walls, JHEP， 1108, 135. (2011).Following this work, with Masahito Yamazaki, we have found a new relation of indices in4-dimensional gauge theories and hyperbolic volumes of 3-dimensional hyperbolic manifolds with boundary. We have written a paper on the results. The paper has been published as Y. Terashima, M. Yamazaki, Emergent 3-manifolds from four dimensionalsuperconformal indices, Phys. Rev. Lett. ，109, (2012) 091602. This relation suggestsvarious new mathematical results.
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