2015 Fiscal Year Final Research Report
Flavor Structure in String Theory
Project/Area Number 
23540286

Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Multiyear Fund 
Section  一般 
Research Field 
Particle/Nuclear/Cosmic ray/Astro physics

Research Institution  The University of Tokyo 
Principal Investigator 
Kawano Teruhiko 東京大学, 理学(系)研究科(研究院), 助教 (20292831)

Project Period (FY) 
20110428 – 20160331

Keywords  String Theory / FTheory / コンパクト化 
Outline of Final Research Achievements 
In a 4dimensional compactification of Ftheory for a phenomenological model, quarks and leptons localized on curves of 7branes 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 6dimensional N=(2,0) theory compactified with twist on the product space of a threesphere 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 4dimentional compactifications of FTheory.

Free Research Field 
素粒子論
