Flavor Structure in String Theory

2015 Fiscal Year Final Research Report

• Project/Area Number: 23540286
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year 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): 2011-04-28 – 2016-03-31
• Keywords: String Theory / F-Theory / コンパクト化

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.

Free Research Field

素粒子論