| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
In a 4-dimensional compactification of F-theory for a phenomenological model, quarks and leptons localized on curves of 7-branes give rise to Yukawa couplings at intersection points of the curves, which are the key for understanding the Flavor structure of the standard model. Since the Yukawa couplings appear in physical quantities with the normalization of each of the kinetric terms of the matters, we also need to know the normalizations, but it is sometimes formidable to calculate it. Therefore, we have been trying to make our understanding of quantum field theory deeper for the computation. To this end, we have applied the localization method to 6-dimensional N=(2,0) theory compactified with twist on the product space of a three-sphere and a Riemann surface to compute the partition function. It made a precious chance for me to learn more on partial twistings, which is a similar circumstance to 4-dimentional compactifications of F-Theory.
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