Gauge coupling unification in SO(32) heterotic string theory with magnetic fluxes

We study $SO(32)$ heterotic string theory on torus with magnetic fluxes. Non-vanishing fluxes can lead to non-universal gauge kinetic functions for $SU(3) \times SU(2) \times U(1)_Y$ which is the important features of $SO(32)$ heterotic string theory in contrast to the $E_8\times E_8$ theory. It is found that the experimental values of gauge couplings are realized with ${\cal O}(1)$ values of moduli fields based on the realistic models with the $SU(3) \times SU(2) \times U(1)_Y$ gauge symmetry and three chiral generations of quarks and leptons without chiral exotics.Comment: 20 pages, 9 figure

On the Stokes semigroup in some non-Helmholtz domains

This paper shows that Lp-Helmholtz decomposition is not necessary to establish the analyticity of the Stokes semigroup in C0; , the L 1 -closure of the space of all compactly supported smooth solenoidal vector fields. In fact, in a sector-like domain for which the Lp-Helmholtz decomposition does not hold, the analyticity of the Stokes semigroup in C0; is proved

REGIOSELECTIVITY OF THE PALLADIUM-MEDIATED INTRAMOLECULAR COUPLING REACTION OF HIGHLY OXYGENATED PHENYL BENZOATE DERIVATIVES AND APPLICATION TO THE SYNTHESIS OF ALTERTENUOL

The regioselectivity of the intramolecular biaryl coupling reaction of 3’,4’-dialkoxyphenyl 2,4-dimethoxybenzoates was investigated using a palladium reagent, and transition state models of the reaction are proposed. As an application of this study, a short-step synthesis of altertenuol is also performed

On the Stokes resolvent estimates for cylindrical domains

This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space C0; , the L 1 -closure of all smooth compactly supported solenoidal vector fields. These domains are not strictly admissible in the sense of the first two authors (2014). However, it is shown that these domains are still admissible which yields the analyticity in C0; . A new proof based on a blow-up argument is given to derive an L 1 -type resolvent estimate which enables us to conclude that the analyticity angle of the Stokes semigroup in C0; is =2

極低バックグラウンドγ線スペクトロメトリーによる大気中放射性核種の高解像度測定

取得学位：博士(理学)，学位授与番号：博甲第888号，学位授与年月日：平成19年3月22